Проект «Простые числа»: Кофакторы чисел Прота

  ➥ Кофакторы чисел Прота

Кофакторы чисел Прота n = 1...9  ⟰ вверх ⟰

Ниже будут приведены только составные числа Прота.
Жирным выделены рекордные значения по возрастанию:

P1 =    5 ⇐ (3×2^3+1) /5 = 25 /5
P2 =  19 ⇐ (7×2^3+1) /3 = 57 /3

P1 =  7 ⇐  (3×2^4+1) /7 = 49 /7
P1 =  3 ⇐  (5×2^4+1) /3^3 = 81 /3^3
P2 =  29 ⇐  (9×2^4+1) /5 = 145 /5 👏
P2 =  59 ⇐ (11×2^4+1) /3 = 177 /3
P2 = 19 ⇐ (13×2^4+1) /11 = 209 /11

P2 = 23 ⇐  (5×2^5+1) /7 = 161 /7
P1 =  5 ⇐  (7×2^5+1) /3^2 /5 = 225 /3^2 /5
P2 = 17 ⇐  (9×2^5+1) /17 = 289 /17
P3 = 139 ⇐ (13×2^5+1) /3 = 417 /3
P2 = 37 ⇐ (15×2^5+1) /13 = 481 /13
P3 =109 ⇐ (17×2^5+1) /5 = 545 /5
P2 = 29 ⇐ (19×2^5+1) /3 /7 = 609 /3 /7
P2 = 67 ⇐ (23×2^5+1) /11 = 737 /11
P2 = 89 ⇐ (25×2^5+1) /3^2 = 801 /3^2
P3 = 173 ⇐ (27×2^5+1) /5 = 865 /5 👏
P3 = 331 ⇐ (31×2^5+1) /3 = 993 /3

Далее приведены только рекордные кофакторы:

P3 =   491 ⇐ (23×2^6+1) /3 = 1473 /3
P3 =   619 ⇐ (29×2^6+1) /3 = 1857 /3
P3 =   653 ⇐ (51×2^6+1) /5 = 3265 /5 👏
P4 = 1259 ⇐ (59×2^6+1) /3 = 3777 /3

P4 = 1579 ⇐ ( 37×2^7+1) /3 =  4737 /3
P4 = 2347 ⇐ ( 55×2^7+1) /3 =  7041 /3
P4 = 3371 ⇐ ( 79×2^7+1) /3 = 10113 /3
P4 = 4139 ⇐ ( 97×2^7+1) /3 = 12417 /3
P4 = 4651 ⇐ (109×2^7+1) /3 = 13953 /3
P4 = 5419 ⇐ (127×2^7+1) /3 = 16257 /3

P4 =   5581 ⇐ (109×2^8+1) /5 = 27905 /5 👏
P4 =   9643 ⇐ (113×2^8+1) /3 = 28929 /3
P5 = 10667 ⇐ (125×2^8+1) /3 = 32001 /3
P5 = 12203 ⇐ (143×2^8+1) /3 = 36609 /3
P5 = 14251 ⇐ (167×2^8+1) /3 = 42753 /3
P5 = 15787 ⇐ (185×2^8+1) /3 = 47361 /3
P5 = 16811 ⇐ (197×2^8+1) /3 = 50433 /3
P5 = 18859 ⇐ (221×2^8+1) /3 = 56577 /3
P5 = 21419 ⇐ (251×2^8+1) /3 = 64257 /3

P5 = 22699 ⇐ (133×2^9+1) /3 =  68097 /3
P5 = 25771 ⇐ (151×2^9+1) /3 =  77313 /3
P5 = 28843 ⇐ (169×2^9+1) /3 =  86529 /3
P5 = 29867 ⇐ (175×2^9+1) /3 =  89601 /3
P5 = 32939 ⇐ (193×2^9+1) /3 =  98817 /3
P5 = 36011 ⇐ (211×2^9+1) /3 = 108033 /3
P5 = 41131 ⇐ (241×2^9+1) /3 = 123393 /3
P5 = 44203 ⇐ (259×2^9+1) /3 = 132609 /3
P5 = 48299 ⇐ (283×2^9+1) /3 = 144897 /3
P5 = 53419 ⇐ (313×2^9+1) /3 = 160257 /3
P5 = 54443 ⇐ (319×2^9+1) /3 = 163329 /3
P5 = 63659 ⇐ (373×2^9+1) /3 = 190977 /3
P5 = 65707 ⇐ (385×2^9+1) /3 = 197121 /3
P5 = 74923 ⇐ (439×2^9+1) /3 = 224769 /3
P5 = 87211 ⇐ (511×2^9+1) /3 = 261633 /3

Кофакторы чисел Прота n = 10...99  ⟰ вверх ⟰

Обработаны k = [3...999], только нечетные

P6 = 102059 ⇐ (299×2^10+1) /3
P6 = 104107 ⇐ (305×2^10+1) /3
P6 = 108203 ⇐ (317×2^10+1) /3
P6 = 110251 ⇐ (323×2^10+1) /3
P6 = 128683 ⇐ (377×2^10+1) /3
P6 = 138923 ⇐ (407×2^10+1) /3
P6 = 153259 ⇐ (449×2^10+1) /3
P6 = 159403 ⇐ (467×2^10+1) /3
P6 = 181931 ⇐ (533×2^10+1) /3
P6 = 200363 ⇐ (587×2^10+1) /3
P6 = 212651 ⇐ (623×2^10+1) /3
P6 = 245419 ⇐ (719×2^10+1) /3
P6 = 255659 ⇐ (749×2^10+1) /3
P6 = 257707 ⇐ (755×2^10+1) /3
P6 = 288427 ⇐ (845×2^10+1) /3
P6 = 298667 ⇐ (875×2^10+1) /3
P6 = 313003 ⇐ (917×2^10+1) /3
P6 = 319147 ⇐ (935×2^10+1) /3
P6 = 323243 ⇐ (947×2^10+1) /3
P6 = 329387 ⇐ (965×2^10+1) /3

P6 = 352939 ⇐ (517×2^11+1) /3
P6 = 402091 ⇐ (589×2^11+1) /3
P6 = 455339 ⇐ (667×2^11+1) /3
P6 = 463531 ⇐ (679×2^11+1) /3
P6 = 467627 ⇐ (685×2^11+1) /3
P6 = 512683 ⇐ (751×2^11+1) /3
P6 = 524971 ⇐ (769×2^11+1) /3
P6 = 549547 ⇐ (805×2^11+1) /3
P6 = 553643 ⇐ (811×2^11+1) /3
P6 = 635563 ⇐ (931×2^11+1) /3
P6 = 647851 ⇐ (949×2^11+1) /3
P6 = 676523 ⇐ (991×2^11+1) /3
...

Нежирным записаны вероятно ошибочные рекорды:

P6 =     793517 ⇐ (  7×2^22+1) /37
P7 =    2903749 ⇐ (  9×2^22+1) /13
P7 =    7244707 ⇐ ( 19×2^22+1) /11
P8 =       40544939 ⇐ ( 29×2^22+1) /3
P8 =       44273209 ⇐ ( 95×2^22+1) /3^2 👏
P9 =     174762667 ⇐ (125×2^22+1) /3
P9 =     367700651 ⇐ (263×2^22+1) /3
P9 =     501918379 ⇐ (359×2^22+1) /3
P9 =     569027243 ⇐ (407×2^22+1) /3
P9 =     619358891 ⇐ (443×2^22+1) /3
P9 =     627747499 ⇐ (449×2^22+1) /3
P9 =     678079147 ⇐ (485×2^22+1) /3
P9 =     694856363 ⇐ (497×2^22+1) /3
P9 =     753576619 ⇐ (539×2^22+1) /3
P9 =     803908267 ⇐ (575×2^22+1) /3
P9 =     929737387 ⇐ (665×2^22+1) /3
P9 =     971680427 ⇐ (695×2^22+1) /3
P9 =     996846251 ⇐ (713×2^22+1) /3
P10 = 1047177899 ⇐ (749×2^22+1) /3
P10 = 1055566507 ⇐ (755×2^22+1) /3
P10 = 1097509547 ⇐ (785×2^22+1) /3
P10 = 1298836139 ⇐ (929×2^22+1) /3
P10 = 1307224747 ⇐ (935×2^22+1) /3
...

P10 =   3303820997 ⇐ (  5×2^33+1) /13
P10 =   6031230671 ⇐ ( 33×2^33+1) /47
P11 =  16806393767 ⇐ ( 45×2^33+1) /23
P12 =   226201610923 ⇐ ( 79×2^33+1) /3
P12 =   243381480107 ⇐ ( 85×2^33+1) /3
P12 =   501079517867 ⇐ (175×2^33+1) /3
P12 =   586978863787 ⇐ (205×2^33+1) /3
P12 =   896216509099 ⇐ (313×2^33+1) /3
P13 = 1068015200939 ⇐ (373×2^33+1) /3
P13 = 1514691799723 ⇐ (529×2^33+1) /3
P13 = 1583411276459 ⇐ (553×2^33+1) /3
P13 = 1669310622379 ⇐ (583×2^33+1) /3
P13 = 1944188529323 ⇐ (679×2^33+1) /3
P13 = 2150346959531 ⇐ (751×2^33+1) /3
P13 = 2287785913003 ⇐ (799×2^33+1) /3
P13 = 2665743035051 ⇐ (931×2^33+1) /3
P13 = 2717282642603 ⇐ (949×2^33+1) /3
P13 = 2820361857707 ⇐ (985×2^33+1) /3
...

P14 = 996890...251691 ⇐ ( 17×2^44+1) /3
P15 = 733007...850667 ⇐ (125×2^44+1) /3
P16 = 119040...005483 ⇐ (203×2^44+1) /3
P16 = 147187...716139 ⇐ (251×2^44+1) /3
P16 = 189409...782123 ⇐ (323×2^44+1) /3
P16 = 277370...002923 ⇐ (473×2^44+1) /3
P16 = 326628...246571 ⇐ (557×2^44+1) /3
P16 = 337183...513067 ⇐ (575×2^44+1) /3
P16 = 382923...667883 ⇐ (653×2^44+1) /3
P16 = 400515...112043 ⇐ (683×2^44+1) /3
P16 = 467365...799851 ⇐ (797×2^44+1) /3
P16 = 537734...576491 ⇐ (917×2^44+1) /3
P16 = 572918...464811 ⇐ (977×2^44+1) /3
...

P17 = 150665...294023 ⇐ ( 23×2^55+1) /5 /11
P17 = 311435...223091 ⇐ ( 51×2^55+1) /59
P18 = 381905...018061 ⇐ ( 53×2^55+1) /5
P18 = 948758...384491 ⇐ ( 79×2^55+1) /3
P19 = 174139...591787 ⇐ (145×2^55+1) /3
P19 = 246196...871147 ⇐ (205×2^55+1) /3
P19 = 260608...727019 ⇐ (217×2^55+1) /3
P19 = 275980...639949 ⇐ (383×2^55+1) /5 👏
P19 = 563250...700331 ⇐ (469×2^55+1) /3
P19 = 621857...180877 ⇐ (863×2^55+1) /5 👏
...

P19 = 909702...080249 ⇐ (  9×2^66+1) /73
P21 = 286949...136249 ⇐ ( 35×2^66+1) /3^2
P22 = 159871...473387 ⇐ ( 65×2^66+1) /3
P22 = 222836...835213 ⇐ (151×2^66+1) /5 👏
P22 = 455019...731947 ⇐ (185×2^66+1) /3
P22 = 602593...861227 ⇐ (245×2^66+1) /3
P22 = 632108...687083 ⇐ (257×2^66+1) /3
P22 = 779682...816363 ⇐ (317×2^66+1) /3
P22 = 942013...358571 ⇐ (383×2^66+1) /3
P23 = 132964...804813 ⇐ (901×2^66+1) /5 👏
...

P23 = 235068...841509 ⇐ (  7×2^77+1) /3^2 /5
P23 = 800024...208497 ⇐ (  9×2^77+1) /17
P24 = 654834...299179 ⇐ ( 13×2^77+1) /3
P25 = 156152...328811 ⇐ ( 31×2^77+1) /3
P25 = 609500...476971 ⇐ (121×2^77+1) /3
P25 = 686065...457549 ⇐ (227×2^77+1) /5 👏
P26 = 107896...252621 ⇐ (357×2^77+1) /5 👏
P26 = 144164...371149 ⇐ (477×2^77+1) /5 👏
P26 = 189499...519309 ⇐ (627×2^77+1) /5 👏
P26 = 243900...697101 ⇐ (807×2^77+1) /5 👏
P26 = 499185...575851 ⇐ (991×2^77+1) /3
...

P27 = 244330...142939 ⇐ ( 15×2^88+1) /19
P27 = 958648...858393 ⇐ (127×2^88+1) /41
P28 = 535647...518277 ⇐ (225×2^88+1) /13
P28 = 883751...192377 ⇐ (257×2^88+1) /3^2
P29 = 160313...658701 ⇐ (259×2^88+1) /5
P29 = 351781...446699 ⇐ (341×2^88+1) /3
P29 = 512713...061611 ⇐ (497×2^88+1) /3
P29 = 871716...664107 ⇐ (845×2^88+1) /3
P29 = 890285...350443 ⇐ (863×2^88+1) /3
P29 = 921233...161003 ⇐ (893×2^88+1) /3
...

P30 = 380295...961613 ⇐ (  3×2^99+1) /5
P30 = 583119...474473 ⇐ ( 23×2^99+1) /5^2
P30 = 595411...081313 ⇐ ( 31×2^99+1) /3 /11
P30 = 924761...076053 ⇐ ( 89×2^99+1) /61
P31 = 127711...080043 ⇐ (135×2^99+1) /67
P32 = 124327...821957 ⇐ (255×2^99+1) /13
P32 = 493478...066423 ⇐ (545×2^99+1) /7
P33 = 115567...556779 ⇐ (547×2^99+1) /3
P33 = 134582...637419 ⇐ (637×2^99+1) /3
P33 = 139652...458923 ⇐ (661×2^99+1) /3
...

Кофакторы чисел Прота n = 100...999  ⟰ вверх ⟰

Обработаны k = [3...9999], только нечетные.
Рекорды далее не будут выделяться жирным.
Будут приведены в сгруппированном виде
все найденные кофакторы вида /3, /5, /7:

P32 = 350716...015403 ⇐ (  83×2^100+1) /3
P32 = 807070...408939 ⇐ ( 191×2^100+1) /3
P32 = 984541...284203 ⇐ ( 233×2^100+1) /3
P33 = 159301...142251 ⇐ ( 377×2^100+1) /3
P33 = 258178...161579 ⇐ ( 611×2^100+1) /3
P33 = 461002...021739 ⇐ (1091×2^100+1) /3
P33 = 499031...183019 ⇐ (1181×2^100+1) /3
P33 = 537061...344299 ⇐ (1271×2^100+1) /3
P33 = 630867...542123 ⇐ (1493×2^100+1) /3
P33 = 955386...118379 ⇐ (2261×2^100+1) /3
P34 = 100862...744171 ⇐ (2387×2^100+1) /3
P34 = 104158...083947 ⇐ (2465×2^100+1) /3
P34 = 107961...245227 ⇐ (2555×2^100+1) /3
P34 = 111764...406507 ⇐ (2645×2^100+1) /3
P34 = 113792...692523 ⇐ (2693×2^100+1) /3
P34 = 115567...567787 ⇐ (2735×2^100+1) /3
P34 = 135342...606443 ⇐ (3203×2^100+1) /3
P34 = 152582...537579 ⇐ (3611×2^100+1) /3
P34 = 161202...503147 ⇐ (3815×2^100+1) /3
P34 = 183260...238571 ⇐ (4337×2^100+1) /3
P34 = 188330...453611 ⇐ (4457×2^100+1) /3
P34 = 200500...169707 ⇐ (4745×2^100+1) /3
P34 = 215204...993323 ⇐ (5093×2^100+1) /3
P34 = 223571...548139 ⇐ (5291×2^100+1) /3
P34 = 226613...477163 ⇐ (5363×2^100+1) /3
P34 = 243093...176043 ⇐ (5753×2^100+1) /3
P34 = 252980...195371 ⇐ (5987×2^100+1) /3
P34 = 263122...625451 ⇐ (6227×2^100+1) /3
P34 = 281883...021099 ⇐ (6671×2^100+1) /3
P34 = 289489...343659 ⇐ (6851×2^100+1) /3
P34 = 292531...272683 ⇐ (6923×2^100+1) /3
P34 = 294306...147947 ⇐ (6965×2^100+1) /3
P34 = 310278...025323 ⇐ (7343×2^100+1) /3
P34 = 310785...846827 ⇐ (7355×2^100+1) /3
P34 = 331321...117739 ⇐ (7841×2^100+1) /3
P34 = 355153...728427 ⇐ (8405×2^100+1) /3
P34 = 357942...246699 ⇐ (8471×2^100+1) /3
P34 = 358956...889707 ⇐ (8495×2^100+1) /3
P34 = 365548...569259 ⇐ (8651×2^100+1) /3
P34 = 367069...033771 ⇐ (8687×2^100+1) /3
P34 = 375435...588587 ⇐ (8885×2^100+1) /3
P34 = 382534...089643 ⇐ (9053×2^100+1) /3
P34 = 386084...840171 ⇐ (9137×2^100+1) /3
P34 = 414986...665899 ⇐ (9821×2^100+1) /3
...

P32 = 580583...806221 ⇐ ( 229×2^100+1) /5
P32 = 656643...038477 ⇐ ( 259×2^100+1) /5
P33 = 172146...290061 ⇐ ( 679×2^100+1) /5
P33 = 359759...685709 ⇐ (1419×2^100+1) /5
P33 = 377506...560973 ⇐ (1489×2^100+1) /5
P33 = 483988...812557 ⇐ (1909×2^100+1) /5
P33 = 527089...795341 ⇐ (2079×2^100+1) /5
P33 = 552442...902861 ⇐ (2179×2^100+1) /5
P33 = 567653...367373 ⇐ (2239×2^100+1) /5
P33 = 580330...421133 ⇐ (2289×2^100+1) /5
P33 = 605683...528653 ⇐ (2389×2^100+1) /5
P33 = 666530...386701 ⇐ (2629×2^100+1) /5
P33 = 704560...547981 ⇐ (2779×2^100+1) /5
P33 = 871890...657613 ⇐ (3439×2^100+1) /5
P34 = 103668...356493 ⇐ (4089×2^100+1) /5
P34 = 124964...859661 ⇐ (4929×2^100+1) /5
P34 = 157923...257421 ⇐ (6229×2^100+1) /5
P34 = 160205...954189 ⇐ (6319×2^100+1) /5
P34 = 162487...650957 ⇐ (6409×2^100+1) /5
P34 = 174403...956301 ⇐ (6879×2^100+1) /5
P34 = 182009...278861 ⇐ (7179×2^100+1) /5
P34 = 194178...994957 ⇐ (7659×2^100+1) /5
P34 = 226123...749709 ⇐ (8919×2^100+1) /5
P34 = 244377...323853 ⇐ (9639×2^100+1) /5
P34 = 245138...556109 ⇐ (9669×2^100+1) /5
P34 = 249194...128141 ⇐ (9829×2^100+1) /5
...

P33 = 108293...116407 ⇐ ( 598×2^100+1) /7
P33 = 172943...590583 ⇐ ( 955×2^100+1) /7
P33 = 317637...604215 ⇐ (1754×2^100+1) /7
P33 = 376130...652279 ⇐ (2077×2^100+1) /7
P33 = 446937...552567 ⇐ (2468×2^100+1) /7
P33 = 560844...435639 ⇐ (3097×2^100+1) /7
P33 = 619337...483703 ⇐ (3420×2^100+1) /7
P33 = 628573...122871 ⇐ (3471×2^100+1) /7
P34 = 128123...290743 ⇐ (7075×2^100+1) /7
P34 = 134588...764919 ⇐ (7432×2^100+1) /7
P34 = 144747...795767 ⇐ (7993×2^100+1) /7
P34 = 165989...496631 ⇐ (9166×2^100+1) /7
...



P36 = 509710...106091 ⇐ ( 589×2^111+1) /3
P36 = 909517...053483 ⇐ (1051×2^111+1) /3
P37 = 119509...158763 ⇐ (1381×2^111+1) /3
P37 = 126778...240107 ⇐ (1465×2^111+1) /3
P37 = 138201...082219 ⇐ (1597×2^111+1) /3
P37 = 145990...383659 ⇐ (1687×2^111+1) /3
P37 = 160009...326251 ⇐ (1849×2^111+1) /3
P37 = 176624...369323 ⇐ (2041×2^111+1) /3
P37 = 184932...890859 ⇐ (2137×2^111+1) /3
P37 = 206739...134891 ⇐ (2389×2^111+1) /3
P37 = 210893...895659 ⇐ (2437×2^111+1) /3
P37 = 231662...699499 ⇐ (2677×2^111+1) /3
P37 = 279951...168427 ⇐ (3235×2^111+1) /3
P37 = 292412...450731 ⇐ (3379×2^111+1) /3
P37 = 340181...699563 ⇐ (3931×2^111+1) /3
P37 = 356278...522539 ⇐ (4117×2^111+1) /3
P37 = 357835...182827 ⇐ (4135×2^111+1) /3
P37 = 360431...283307 ⇐ (4165×2^111+1) /3
P37 = 363547...603883 ⇐ (4201×2^111+1) /3
P37 = 380681...867051 ⇐ (4399×2^111+1) /3
P37 = 434162...536939 ⇐ (5017×2^111+1) /3
P37 = 446104...599147 ⇐ (5155×2^111+1) /3
P37 = 477777...025003 ⇐ (5521×2^111+1) /3
P37 = 479335...685291 ⇐ (5539×2^111+1) /3
P37 = 480373...125483 ⇐ (5551×2^111+1) /3
P37 = 487123...986731 ⇐ (5629×2^111+1) /3
P37 = 545796...857579 ⇐ (6307×2^111+1) /3
P37 = 558777...359979 ⇐ (6457×2^111+1) /3
P37 = 590969...005931 ⇐ (6829×2^111+1) /3
P37 = 641335...355243 ⇐ (7411×2^111+1) /3
P37 = 676642...321771 ⇐ (7819×2^111+1) /3
P37 = 681835...522731 ⇐ (7879×2^111+1) /3
P37 = 703642...766763 ⇐ (8131×2^111+1) /3
P37 = 734277...752427 ⇐ (8485×2^111+1) /3
P37 = 756084...996459 ⇐ (8737×2^111+1) /3
P37 = 765950...178283 ⇐ (8851×2^111+1) /3
P37 = 804892...685483 ⇐ (9301×2^111+1) /3
P37 = 814238...647211 ⇐ (9409×2^111+1) /3
P37 = 819950...068267 ⇐ (9475×2^111+1) /3
P37 = 838642...991723 ⇐ (9691×2^111+1) /3
P37 = 855777...254891 ⇐ (9889×2^111+1) /3
...

P35 = 275191...866509 ⇐ (  53×2^111+1) /5
P36 = 157326...368909 ⇐ ( 303×2^111+1) /5
P36 = 245595...110541 ⇐ ( 473×2^111+1) /5
P36 = 281941...651213 ⇐ ( 543×2^111+1) /5
P36 = 541556...656013 ⇐ (1043×2^111+1) /5
P36 = 671363...158413 ⇐ (1293×2^111+1) /5
P36 = 858286...081869 ⇐ (1653×2^111+1) /5
P37 = 109194...986189 ⇐ (2103×2^111+1) /5
P37 = 115424...627341 ⇐ (2223×2^111+1) /5
P37 = 139828...971853 ⇐ (2693×2^111+1) /5
P37 = 150732...593869 ⇐ (2903×2^111+1) /5
P37 = 216674...546061 ⇐ (4173×2^111+1) /5
P37 = 245751...871437 ⇐ (4733×2^111+1) /5
P37 = 264962...014989 ⇐ (5103×2^111+1) /5
P37 = 285212...598733 ⇐ (5493×2^111+1) /5
P37 = 308058...282957 ⇐ (5933×2^111+1) /5
P37 = 417616...723213 ⇐ (8043×2^111+1) /5
P37 = 424885...804557 ⇐ (8183×2^111+1) /5
P37 = 451885...249549 ⇐ (8703×2^111+1) /5
P37 = 453443...909837 ⇐ (8733×2^111+1) /5
P37 = 479404...914637 ⇐ (9233×2^111+1) /5
P37 = 490827...756749 ⇐ (9453×2^111+1) /5
P37 = 492385...417037 ⇐ (9483×2^111+1) /5
P37 = 513673...440973 ⇐ (9893×2^111+1) /5
...

P35 = 930904...446007 ⇐ ( 251×2^111+1) /7
P36 = 482512...953207 ⇐ (1301×2^111+1) /7
P36 = 700589...197239 ⇐ (1889×2^111+1) /7
P36 = 726550...297719 ⇐ (1959×2^111+1) /7
P37 = 108481...484343 ⇐ (2925×2^111+1) /7
P37 = 118347...666167 ⇐ (3191×2^111+1) /7
P37 = 127174...407799 ⇐ (3429×2^111+1) /7
P37 = 129251...288183 ⇐ (3485×2^111+1) /7
P37 = 165077...474807 ⇐ (4451×2^111+1) /7
P37 = 196231...680567 ⇐ (5291×2^111+1) /7
P37 = 203500...761911 ⇐ (5487×2^111+1) /7
P37 = 219597...584887 ⇐ (5921×2^111+1) /7
P37 = 306308...340919 ⇐ (8259×2^111+1) /7
P37 = 344212...407927 ⇐ (9281×2^111+1) /7
...



P69 = 590872...628651 ⇐ ( 263×2^222+1) /3
P70 = 183102...092587 ⇐ ( 815×2^222+1) /3
P70 = 215454...083179 ⇐ ( 959×2^222+1) /3
P70 = 342166...796331 ⇐ (1523×2^222+1) /3
P70 = 591546...848811 ⇐ (2633×2^222+1) /3
P70 = 681861...197547 ⇐ (3035×2^222+1) /3
P70 = 793745...540011 ⇐ (3533×2^222+1) /3
P71 = 107008...084651 ⇐ (4763×2^222+1) /3
P71 = 110513...324459 ⇐ (4919×2^222+1) /3
P71 = 114692...187307 ⇐ (5105×2^222+1) /3
P71 = 131272...514091 ⇐ (5843×2^222+1) /3
P71 = 134103...130859 ⇐ (5969×2^222+1) /3
P71 = 144078...351851 ⇐ (6413×2^222+1) /3
P71 = 151762...454507 ⇐ (6755×2^222+1) /3
P71 = 157828...061867 ⇐ (7025×2^222+1) /3
P71 = 172386...519531 ⇐ (7673×2^222+1) /3
P71 = 172521...644139 ⇐ (7679×2^222+1) /3
P71 = 173734...765611 ⇐ (7733×2^222+1) /3
P71 = 185057...232683 ⇐ (8237×2^222+1) /3
P71 = 189371...220139 ⇐ (8429×2^222+1) /3
P71 = 191393...089259 ⇐ (8519×2^222+1) /3
P71 = 193145...709163 ⇐ (8597×2^222+1) /3
P71 = 202042...933291 ⇐ (8993×2^222+1) /3
P71 = 218083...761643 ⇐ (9707×2^222+1) /3
P71 = 218218...886251 ⇐ (9713×2^222+1) /3
...

P70 = 141674...596301 ⇐ (1051×2^222+1) /5
P70 = 330394...041421 ⇐ (2451×2^222+1) /5
P70 = 387010...274957 ⇐ (2871×2^222+1) /5
P70 = 756361...417549 ⇐ (5611×2^222+1) /5
P70 = 852069...264717 ⇐ (6321×2^222+1) /5
P70 = 905989...249037 ⇐ (6721×2^222+1) /5
P70 = 916772...245901 ⇐ (6801×2^222+1) /5
P71 = 104752...332877 ⇐ (7771×2^222+1) /5
P71 = 106370...828173 ⇐ (7891×2^222+1) /5
...

P68 = 664370...542711 ⇐ (  69×2^222+1) /7
P69 = 349516...159479 ⇐ ( 363×2^222+1) /7
P69 = 834795...645367 ⇐ ( 867×2^222+1) /7
P69 = 956115...766839 ⇐ ( 993×2^222+1) /7
P70 = 215583...856951 ⇐ (2239×2^222+1) /7
P70 = 223671...604599 ⇐ (2323×2^222+1) /7
P70 = 357123...940791 ⇐ (3709×2^222+1) /7
P70 = 382734...308343 ⇐ (3975×2^222+1) /7
P70 = 385430...557559 ⇐ (4003×2^222+1) /7
P70 = 526970...641399 ⇐ (5473×2^222+1) /7
P70 = 548538...635127 ⇐ (5697×2^222+1) /7
P70 = 593022...747191 ⇐ (6159×2^222+1) /7
P70 = 951589...892919 ⇐ (9883×2^222+1) /7
...



P103 = 123069...284971 ⇐ ( 211×2^333+1) /3
P103 = 182562...925099 ⇐ ( 313×2^333+1) /3
P103 = 469529...542187 ⇐ ( 805×2^333+1) /3
P103 = 602514...267179 ⇐ (1033×2^333+1) /3
P104 = 135842...282923 ⇐ (2329×2^333+1) /3
P104 = 149491...869099 ⇐ (2563×2^333+1) /3
P104 = 185187...709867 ⇐ (3175×2^333+1) /3
P104 = 254479...224299 ⇐ (4363×2^333+1) /3
P104 = 275826...756523 ⇐ (4729×2^333+1) /3
P104 = 285275...008491 ⇐ (4891×2^333+1) /3
P104 = 322721...155179 ⇐ (5533×2^333+1) /3
P104 = 355267...245291 ⇐ (6091×2^333+1) /3
P104 = 379765...528171 ⇐ (6511×2^333+1) /3
P104 = 578192...819499 ⇐ (9913×2^333+1) /3
...

P104 = 150727...511949 ⇐ (4307×2^333+1) /5
P104 = 197972...771789 ⇐ (5657×2^333+1) /5
P104 = 219320...304013 ⇐ (6267×2^333+1) /5
P104 = 276013...815821 ⇐ (7887×2^333+1) /5
P104 = 281262...733581 ⇐ (8037×2^333+1) /5
P104 = 310309...211853 ⇐ (8867×2^333+1) /5
...

P104 = 136459...800247 ⇐ (5459×2^333+1) /7
P104 = 159206...777207 ⇐ (6369×2^333+1) /7
P104 = 171805...779831 ⇐ (6873×2^333+1) /7
P104 = 192803...450871 ⇐ (7713×2^333+1) /7
P104 = 204701...731127 ⇐ (8189×2^333+1) /7
P104 = 232698...625847 ⇐ (9309×2^333+1) /7
...



P137 = 243339...328171 ⇐ (1607×2^444+1) /3
P137 = 246973...635499 ⇐ (1631×2^444+1) /3
P137 = 557697...912043 ⇐ (3683×2^444+1) /3
P137 = 745766...316267 ⇐ (4925×2^444+1) /3
P137 = 911122...299691 ⇐ (6017×2^444+1) /3
P138 = 100742...443883 ⇐ (6653×2^444+1) /3
P138 = 101015...174379 ⇐ (6671×2^444+1) /3
P138 = 103195...018347 ⇐ (6815×2^444+1) /3
P138 = 104195...363499 ⇐ (6881×2^444+1) /3
P138 = 128817...684971 ⇐ (8507×2^444+1) /3
P138 = 150894...855147 ⇐ (9965×2^444+1) /3
...

P136 = 689588...481549 ⇐ ( 759×2^444+1) /5
P137 = 113477...746317 ⇐ (1249×2^444+1) /5
P137 = 170716...086733 ⇐ (1879×2^444+1) /5
P137 = 638618...155213 ⇐ (7029×2^444+1) /5
P137 = 770358...795853 ⇐ (8479×2^444+1) /5
...

P137 = 207992...696183 ⇐ (3205×2^444+1) /7
...



P170 = 224472...955243 ⇐ ( 571×2^555+1) /3
P170 = 932090...336043 ⇐ (2371×2^555+1) /3
P171 = 259263...722987 ⇐ (6595×2^555+1) /3
P171 = 328845...064107 ⇐ (8365×2^555+1) /3
P171 = 362811...006891 ⇐ (9229×2^555+1) /3
...

P170 = 121002...767117 ⇐ ( 513×2^555+1) /5
P170 = 404049...719437 ⇐ (1713×2^555+1) /5
P170 = 451224...878157 ⇐ (1913×2^555+1) /5
P171 = 152680...696973 ⇐ (6473×2^555+1) /5
P171 = 154095...944589 ⇐ (6533×2^555+1) /5
P171 = 181220...857229 ⇐ (7683×2^555+1) /5
P171 = 209289...601613 ⇐ (8873×2^555+1) /5
P171 = 230518...315853 ⇐ (9773×2^555+1) /5
...

P171 = 118862...713463 ⇐ (7055×2^555+1) /7
P171 = 137968...556279 ⇐ (8189×2^555+1) /7
P171 = 151885...824503 ⇐ (9015×2^555+1) /7
...



P204 = 274847...319851 ⇐ (2693×2^666+1) /3
P204 = 575516...315499 ⇐ (5639×2^666+1) /3
P204 = 606747...302827 ⇐ (5945×2^666+1) /3
P204 = 868225...079083 ⇐ (8507×2^666+1) /3
...

P203 = 827298...119373 ⇐ (1351×2^666+1) /5
P204 = 121308...397837 ⇐ (1981×2^666+1) /5
P204 = 211325...714253 ⇐ (3451×2^666+1) /5
P204 = 260314...988493 ⇐ (4251×2^666+1) /5
P204 = 262151...811277 ⇐ (4281×2^666+1) /5
P204 = 388910...583373 ⇐ (6351×2^666+1) /5
P204 = 480764...722573 ⇐ (7851×2^666+1) /5
P204 = 507095...182477 ⇐ (8281×2^666+1) /5
...

P203 = 520068...911671 ⇐ (1189×2^666+1) /7
P204 = 193462...266039 ⇐ (4423×2^666+1) /7
P204 = 260209...827191 ⇐ (5949×2^666+1) /7
P204 = 322057...860919 ⇐ (7363×2^666+1) /7
P204 = 368597...371447 ⇐ (8427×2^666+1) /7
...



P237 = 322990...516523 ⇐ (1219×2^777+1) /3
P237 = 809462...346987 ⇐ (3055×2^777+1) /3
P238 = 146286...854571 ⇐ (5521×2^777+1) /3
P238 = 172994...937963 ⇐ (6529×2^777+1) /3
...

P237 = 389018...939917 ⇐ (2447×2^777+1) /5
P237 = 889799...971277 ⇐ (5597×2^777+1) /5
P237 = 929543...084877 ⇐ (5847×2^777+1) /5
P238 = 135878...111757 ⇐ (8547×2^777+1) /5
P238 = 156704...147021 ⇐ (9857×2^777+1) /5
...

P238 = 115883...040823 ⇐ (10205×2^777+1) /7
...



P271 = 254585...765419 ⇐ (3701×2^888+1) /3
P271 = 634297...628459 ⇐ (9221×2^888+1) /3
P271 = 659061...315179 ⇐ (9581×2^888+1) /3
...

P270 = 759010...014797 ⇐ (1839×2^888+1) /5
P271 = 115935...091661 ⇐ (2809×2^888+1) /5
P271 = 311569...116749 ⇐ (7549×2^888+1) /5
...

P270 = 461962...778679 ⇐ (1567×2^888+1) /7
P271 = 215828...382711 ⇐ (7321×2^888+1) /7
...



P304 = 867029...136747 ⇐ (4855×2^999+1) /3
P305 = 112311...717611 ⇐ (6289×2^999+1) /3
P305 = 122062...030827 ⇐ (6835×2^999+1) /3
P305 = 149279...652331 ⇐ (8359×2^999+1) /3
P305 = 158922...896171 ⇐ (8899×2^999+1) /3
...

P303 = 892566...179021 ⇐ ( 833×2^999+1) /5
P304 = 550005...010701 ⇐ (5133×2^999+1) /5
P304 = 767521...094029 ⇐ (7163×2^999+1) /5
P304 = 860742...129741 ⇐ (8033×2^999+1) /5
...

P303 = 352832...570167 ⇐ ( 461×2^999+1) /7
P303 = 502843...541431 ⇐ ( 657×2^999+1) /7
P304 = 394238...811127 ⇐ (5151×2^999+1) /7
P304 = 700690...652663 ⇐ (9155×2^999+1) /7
...

Кофакторы чисел Прота n = 1000...9999  ⟰ вверх ⟰

Обработаны k = [3...99999], только нечетные.
Кое-где уже приходится расширять диапазон:

P304 = 370384...980971 ⇐ ( 1037×2^1000+1) /3
P304 = 713267...181291 ⇐ ( 1997×2^1000+1) /3
P305 = 235267...326571 ⇐ ( 6587×2^1000+1) /3
P305 = 278770...493227 ⇐ ( 7805×2^1000+1) /3
P305 = 284556...239531 ⇐ ( 7967×2^1000+1) /3
P305 = 325917...018667 ⇐ ( 9125×2^1000+1) /3
P305 = 400494...304363 ⇐ (11213×2^1000+1) /3
P305 = 413995...045739 ⇐ (11591×2^1000+1) /3
P305 = 433068...394667 ⇐ (12125×2^1000+1) /3
P305 = 446569...136043 ⇐ (12503×2^1000+1) /3
P305 = 529718...971819 ⇐ (14831×2^1000+1) /3
P305 = 655513...419243 ⇐ (18353×2^1000+1) /3
P305 = 678014...988203 ⇐ (18983×2^1000+1) /3
P305 = 703731...638443 ⇐ (19703×2^1000+1) /3
P305 = 757949...742699 ⇐ (21221×2^1000+1) /3
P305 = 915461...725419 ⇐ (25631×2^1000+1) /3
P306 = 103547...426539 ⇐ (28991×2^1000+1) /3
P306 = 130227...172779 ⇐ (36461×2^1000+1) /3
P306 = 134985...975723 ⇐ (37793×2^1000+1) /3
P306 = 144178...500331 ⇐ (40367×2^1000+1) /3
P306 = 144392...887851 ⇐ (40427×2^1000+1) /3
P306 = 148378...695723 ⇐ (41543×2^1000+1) /3
P306 = 154036...326251 ⇐ (43127×2^1000+1) /3
P306 = 154207...436267 ⇐ (43175×2^1000+1) /3
P306 = 159286...320491 ⇐ (44597×2^1000+1) /3
P306 = 167280...074987 ⇐ (46835×2^1000+1) /3
P306 = 173195...370539 ⇐ (48491×2^1000+1) /3
P306 = 177931...034731 ⇐ (49817×2^1000+1) /3
P306 = 179731...689899 ⇐ (50321×2^1000+1) /3
P306 = 186481...396779 ⇐ (52211×2^1000+1) /3
P306 = 188731...965739 ⇐ (52841×2^1000+1) /3
P306 = 194968...342571 ⇐ (54587×2^1000+1) /3
P306 = 197411...160299 ⇐ (55271×2^1000+1) /3
P306 = 207397...818731 ⇐ (58067×2^1000+1) /3
P306 = 209069...641387 ⇐ (58535×2^1000+1) /3
P306 = 214448...468139 ⇐ (60041×2^1000+1) /3
P306 = 215433...850731 ⇐ (60317×2^1000+1) /3
P306 = 223598...715243 ⇐ (62603×2^1000+1) /3
P306 = 243057...702059 ⇐ (68051×2^1000+1) /3
P306 = 244021...945899 ⇐ (68321×2^1000+1) /3
P306 = 245971...572331 ⇐ (68867×2^1000+1) /3
P306 = 248522...083819 ⇐ (69581×2^1000+1) /3
P306 = 250665...959019 ⇐ (70181×2^1000+1) /3
P306 = 257672...330923 ⇐ (72143×2^1000+1) /3
P306 = 275609...466347 ⇐ (77165×2^1000+1) /3
P306 = 277152...456491 ⇐ (77597×2^1000+1) /3
P306 = 280024...049259 ⇐ (78401×2^1000+1) /3
P306 = 280795...044331 ⇐ (78617×2^1000+1) /3
P306 = 288918...631339 ⇐ (80891×2^1000+1) /3
P306 = 293611...018027 ⇐ (82205×2^1000+1) /3
P306 = 307690...178091 ⇐ (86147×2^1000+1) /3
P306 = 308140...091883 ⇐ (86273×2^1000+1) /3
P306 = 313905...416171 ⇐ (87887×2^1000+1) /3
P306 = 325349...509739 ⇐ (91091×2^1000+1) /3
P306 = 326077...227307 ⇐ (91295×2^1000+1) /3
P306 = 332957...766699 ⇐ (93221×2^1000+1) /3
P306 = 333921...010539 ⇐ (93491×2^1000+1) /3
P306 = 341957...042539 ⇐ (95741×2^1000+1) /3
...

P304 = 486250...882829 ⇐ ( 2269×2^1000+1) /5
P305 = 180420...215309 ⇐ ( 8419×2^1000+1) /5
P305 = 528875...826061 ⇐ (24679×2^1000+1) /5
P306 = 170603...990797 ⇐ (79609×2^1000+1) /5
P306 = 171567...234637 ⇐ (80059×2^1000+1) /5
P306 = 178896...687821 ⇐ (83479×2^1000+1) /5
P306 = 179025...520333 ⇐ (83539×2^1000+1) /5
P306 = 184168...820813 ⇐ (85939×2^1000+1) /5
P306 = 197219...320781 ⇐ (92029×2^1000+1) /5
...

P306 = 104262...343927 ⇐ (68113×2^1000+1) /7
P306 = 122070...646839 ⇐ (79747×2^1000+1) /7
P306 = 141165...274871 ⇐ (92221×2^1000+1) /7
...



P337 = 507214...485419 ⇐ (  547×2^1111+1) /3
P338 = 125829...798379 ⇐ ( 1357×2^1111+1) /3
P338 = 155316...943467 ⇐ ( 1675×2^1111+1) /3
P338 = 159211...604139 ⇐ ( 1717×2^1111+1) /3
P338 = 342809...035819 ⇐ ( 3697×2^1111+1) /3
P338 = 472441...598187 ⇐ ( 5095×2^1111+1) /3
P338 = 791791...773291 ⇐ ( 8539×2^1111+1) /3
P338 = 845202...262507 ⇐ ( 9115×2^1111+1) /3
P338 = 994862...508331 ⇐ (10729×2^1111+1) /3
P339 = 120906...845291 ⇐ (13039×2^1111+1) /3
P339 = 127693...217003 ⇐ (13771×2^1111+1) /3
P339 = 149391...454443 ⇐ (16111×2^1111+1) /3
P339 = 164302...320171 ⇐ (17719×2^1111+1) /3
P339 = 164747...360939 ⇐ (17767×2^1111+1) /3
P339 = 167974...406507 ⇐ (18115×2^1111+1) /3
P339 = 195180...273451 ⇐ (21049×2^1111+1) /3
P339 = 202969...486891 ⇐ (21889×2^1111+1) /3
P339 = 203135...627179 ⇐ (21907×2^1111+1) /3
P339 = 211481...641579 ⇐ (22807×2^1111+1) /3
P339 = 232901...978539 ⇐ (25117×2^1111+1) /3
P339 = 251205...030123 ⇐ (27091×2^1111+1) /3
P339 = 276297...453419 ⇐ (29797×2^1111+1) /3
P339 = 301611...397099 ⇐ (32527×2^1111+1) /3
P339 = 305172...723243 ⇐ (32911×2^1111+1) /3
P339 = 313851...018219 ⇐ (33847×2^1111+1) /3
P339 = 343227...708907 ⇐ (37015×2^1111+1) /3
P339 = 343839...889963 ⇐ (37081×2^1111+1) /3
P339 = 352184...904363 ⇐ (37981×2^1111+1) /3
P339 = 367094...770091 ⇐ (39589×2^1111+1) /3
P339 = 374772...223339 ⇐ (40417×2^1111+1) /3
P339 = 390072...749739 ⇐ (42067×2^1111+1) /3
P339 = 484598...532843 ⇐ (52261×2^1111+1) /3
P339 = 502401...163563 ⇐ (54181×2^1111+1) /3
P339 = 524600...821867 ⇐ (56575×2^1111+1) /3
P339 = 543627...814699 ⇐ (58627×2^1111+1) /3
P339 = 550304...426219 ⇐ (59347×2^1111+1) /3
P339 = 569498...559339 ⇐ (61417×2^1111+1) /3
P339 = 584408...425067 ⇐ (63025×2^1111+1) /3
P339 = 601377...354347 ⇐ (64855×2^1111+1) /3
P339 = 609723...368747 ⇐ (65755×2^1111+1) /3
P339 = 640434...181739 ⇐ (69067×2^1111+1) /3
P339 = 643160...806443 ⇐ (69361×2^1111+1) /3
P339 = 715208...030763 ⇐ (77131×2^1111+1) /3
P339 = 729062...674667 ⇐ (78625×2^1111+1) /3
P339 = 729562...095531 ⇐ (78679×2^1111+1) /3
P339 = 757269...383339 ⇐ (81667×2^1111+1) /3
P339 = 780024...842603 ⇐ (84121×2^1111+1) /3
P339 = 783696...928939 ⇐ (84517×2^1111+1) /3
P339 = 798996...455339 ⇐ (86167×2^1111+1) /3
P339 = 801055...518891 ⇐ (86389×2^1111+1) /3
P339 = 806896...428971 ⇐ (87019×2^1111+1) /3
P339 = 818024...448171 ⇐ (88219×2^1111+1) /3
P339 = 828094...245547 ⇐ (89305×2^1111+1) /3
P339 = 829763...648427 ⇐ (89485×2^1111+1) /3
P339 = 852573...487787 ⇐ (91945×2^1111+1) /3
P339 = 860140...180843 ⇐ (92761×2^1111+1) /3
P339 = 862254...624491 ⇐ (92989×2^1111+1) /3
P339 = 870433...498603 ⇐ (93871×2^1111+1) /3
P339 = 873493...403883 ⇐ (94201×2^1111+1) /3
P339 = 880169...015403 ⇐ (94921×2^1111+1) /3
P339 = 891018...134123 ⇐ (96091×2^1111+1) /3
P339 = 905984...379947 ⇐ (97705×2^1111+1) /3
...

P337 = 213085...857677 ⇐ (  383×2^1111+1) /5
P337 = 252030...518349 ⇐ (  453×2^1111+1) /5
P338 = 190441...406861 ⇐ ( 3423×2^1111+1) /5
P338 = 443585...350541 ⇐ ( 7973×2^1111+1) /5
P338 = 577111...573581 ⇐ (10373×2^1111+1) /5
P338 = 809113...073613 ⇐ (14543×2^1111+1) /5
P338 = 981027...523277 ⇐ (17633×2^1111+1) /5
P339 = 122026...964557 ⇐ (21933×2^1111+1) /5
P339 = 140386...396237 ⇐ (25233×2^1111+1) /5
P339 = 174435...014989 ⇐ (31353×2^1111+1) /5
P339 = 193462...007821 ⇐ (34773×2^1111+1) /5
P339 = 285039...645837 ⇐ (51233×2^1111+1) /5
P339 = 368548...169933 ⇐ (66243×2^1111+1) /5
P339 = 372499...156749 ⇐ (66953×2^1111+1) /5
P339 = 385740...619597 ⇐ (69333×2^1111+1) /5
P339 = 479542...461453 ⇐ (86193×2^1111+1) /5
P339 = 502909...101773 ⇐ (90393×2^1111+1) /5
P339 = 514927...202509 ⇐ (92553×2^1111+1) /5
P339 = 518098...867981 ⇐ (93123×2^1111+1) /5
P339 = 542466...350029 ⇐ (97503×2^1111+1) /5
...

P338 = 109165...794551 ⇐ ( 2747×2^1111+1) /7
P338 = 152561...442039 ⇐ ( 3839×2^1111+1) /7
P338 = 160350...763383 ⇐ ( 4035×2^1111+1) /7
P338 = 315574...810167 ⇐ ( 7941×2^1111+1) /7
P338 = 510856...223863 ⇐ (12855×2^1111+1) /7
P338 = 553140...111159 ⇐ (13919×2^1111+1) /7
P338 = 768451...208311 ⇐ (19337×2^1111+1) /7
P339 = 128753...837879 ⇐ (32399×2^1111+1) /7
P339 = 137376...752759 ⇐ (34569×2^1111+1) /7
P339 = 150618...215607 ⇐ (37901×2^1111+1) /7
P339 = 183777...752823 ⇐ (46245×2^1111+1) /7
P339 = 206810...112567 ⇐ (52041×2^1111+1) /7
P339 = 210204...298423 ⇐ (52895×2^1111+1) /7
P339 = 271070...123447 ⇐ (68211×2^1111+1) /7
P339 = 282475...043127 ⇐ (71081×2^1111+1) /7
P339 = 287148...971191 ⇐ (72257×2^1111+1) /7
P339 = 289485...935223 ⇐ (72845×2^1111+1) /7
P339 = 293658...442423 ⇐ (73895×2^1111+1) /7
P339 = 340002...062391 ⇐ (85557×2^1111+1) /7
P339 = 360087...277047 ⇐ (90611×2^1111+1) /7
P339 = 380784...672759 ⇐ (95819×2^1111+1) /7
P339 = 382564...835831 ⇐ (96267×2^1111+1) /7
P339 = 388406...745911 ⇐ (97737×2^1111+1) /7
...



P673 = 159849...185963 ⇐ ( 6197×2^2222+1) /3
P673 = 205660...629931 ⇐ ( 7973×2^2222+1) /3
P673 = 464432...894507 ⇐ (18005×2^2222+1) /3
P673 = 675999...353643 ⇐ (26207×2^2222+1) /3
P673 = 685749...883947 ⇐ (26585×2^2222+1) /3
P673 = 813897...139371 ⇐ (31553×2^2222+1) /3
P673 = 817302...800747 ⇐ (31685×2^2222+1) /3
P674 = 118688...044651 ⇐ (46013×2^2222+1) /3
P674 = 131766...538411 ⇐ (51083×2^2222+1) /3
P674 = 137338...997291 ⇐ (53243×2^2222+1) /3
P674 = 144179...194027 ⇐ (55895×2^2222+1) /3
P674 = 163261...715691 ⇐ (63293×2^2222+1) /3
P674 = 164886...599531 ⇐ (63923×2^2222+1) /3
P674 = 166279...214251 ⇐ (64463×2^2222+1) /3
P674 = 180812...261163 ⇐ (70097×2^2222+1) /3
P674 = 202216...474027 ⇐ (78395×2^2222+1) /3
P674 = 204755...949739 ⇐ (79379×2^2222+1) /3
P674 = 226639...185451 ⇐ (87863×2^2222+1) /3
P674 = 227010...816043 ⇐ (88007×2^2222+1) /3
P674 = 246232...699179 ⇐ (95459×2^2222+1) /3
P674 = 249250...197739 ⇐ (96629×2^2222+1) /3
...

P672 = 272545...539469 ⇐ ( 1761×2^2222+1) /5
P673 = 308157...102989 ⇐ (19911×2^2222+1) /5
P673 = 446056...888717 ⇐ (28821×2^2222+1) /5
P673 = 555786...475789 ⇐ (35911×2^2222+1) /5
P673 = 602680...312013 ⇐ (38941×2^2222+1) /5
P673 = 670314...085709 ⇐ (43311×2^2222+1) /5
P673 = 912371...012621 ⇐ (58951×2^2222+1) /5
P674 = 102457...353421 ⇐ (66201×2^2222+1) /5
P674 = 113012...856077 ⇐ (73021×2^2222+1) /5
P674 = 115876...508557 ⇐ (74871×2^2222+1) /5
P674 = 118166...230541 ⇐ (76351×2^2222+1) /5
P674 = 134881...607181 ⇐ (87151×2^2222+1) /5
P674 = 141010...511949 ⇐ (91111×2^2222+1) /5
P674 = 143192...841677 ⇐ (92521×2^2222+1) /5
P674 = 145235...809933 ⇐ (93841×2^2222+1) /5
...

P670 = 829112...167543 ⇐ (   75×2^2222+1) /7
P672 = 856418...732727 ⇐ ( 7747×2^2222+1) /7
P673 = 166430...698103 ⇐ (15055×2^2222+1) /7
P673 = 271053...293111 ⇐ (24519×2^2222+1) /7
P673 = 345342...904951 ⇐ (31239×2^2222+1) /7
P673 = 590494...524023 ⇐ (53415×2^2222+1) /7
P673 = 609530...130807 ⇐ (55137×2^2222+1) /7
P673 = 644662...136823 ⇐ (58315×2^2222+1) /7
P673 = 715855...056503 ⇐ (64755×2^2222+1) /7
P673 = 896934...047863 ⇐ (81135×2^2222+1) /7
P674 = 105433...894199 ⇐ (95373×2^2222+1) /7
P674 = 110308...545719 ⇐ (99783×2^2222+1) /7
...



P1006 = 706790...577707 ⇐ (  985×2^3333+1) /3
P1007 = 254946...924459 ⇐ ( 3553×2^3333+1) /3
P1007 = 415535...306091 ⇐ ( 5791×2^3333+1) /3
P1008 = 130802...700523 ⇐ (18229×2^3333+1) /3
P1008 = 150262...795691 ⇐ (20941×2^3333+1) /3
P1008 = 182983...495531 ⇐ (25501×2^3333+1) /3
P1008 = 228921...018859 ⇐ (31903×2^3333+1) /3
P1008 = 302800...530603 ⇐ (42199×2^3333+1) /3
P1008 = 332550...328747 ⇐ (46345×2^3333+1) /3
P1008 = 489436...963243 ⇐ (68209×2^3333+1) /3
P1008 = 503256...723307 ⇐ (70135×2^3333+1) /3
P1008 = 532230...460139 ⇐ (74173×2^3333+1) /3
P1008 = 582431...320683 ⇐ (81169×2^3333+1) /3
P1008 = 694972...335659 ⇐ (96853×2^3333+1) /3
...

P1008 = 107447...200909 ⇐ (24957×2^3333+1) /5
P1008 = 124324...425037 ⇐ (28877×2^3333+1) /5
P1008 = 204403...427277 ⇐ (47477×2^3333+1) /5
P1008 = 216716...845901 ⇐ (50337×2^3333+1) /5
P1008 = 234024...881869 ⇐ (54357×2^3333+1) /5
P1008 = 235445...660941 ⇐ (54687×2^3333+1) /5
P1008 = 248059...547853 ⇐ (57617×2^3333+1) /5
P1008 = 275829...411533 ⇐ (64067×2^3333+1) /5
P1008 = 292791...198029 ⇐ (68007×2^3333+1) /5
P1008 = 301962...590221 ⇐ (70137×2^3333+1) /5
P1008 = 405935...149581 ⇐ (94287×2^3333+1) /5
...

P1007 = 649642...465143 ⇐ (21125×2^3333+1) /7
P1007 = 766746...947191 ⇐ (24933×2^3333+1) /7
P1008 = 143321...220023 ⇐ (46605×2^3333+1) /7
P1008 = 153438...798263 ⇐ (49895×2^3333+1) /7
P1008 = 159724...851127 ⇐ (51939×2^3333+1) /7
P1008 = 175783...232759 ⇐ (57161×2^3333+1) /7
P1008 = 262664...662071 ⇐ (85413×2^3333+1) /7
...



P1341 = 671683...539947 ⇐ ( 3365×2^4444+1) /3
P1342 = 127410...326443 ⇐ ( 6383×2^4444+1) /3
P1342 = 246456...417451 ⇐ (12347×2^4444+1) /3
P1342 = 305620...092459 ⇐ (15311×2^4444+1) /3
P1342 = 387300...651883 ⇐ (19403×2^4444+1) /3
P1342 = 471375...347947 ⇐ (23615×2^4444+1) /3
P1342 = 515210...548459 ⇐ (25811×2^4444+1) /3
P1342 = 627909...427371 ⇐ (31457×2^4444+1) /3
P1342 = 651981...250603 ⇐ (32663×2^4444+1) /3
P1343 = 119128...365099 ⇐ (59681×2^4444+1) /3
P1343 = 125236...349419 ⇐ (62741×2^4444+1) /3
P1343 = 141943...630059 ⇐ (71111×2^4444+1) /3
P1343 = 146842...474347 ⇐ (73565×2^4444+1) /3
P1343 = 147692...909419 ⇐ (73991×2^4444+1) /3
P1343 = 153333...077291 ⇐ (76817×2^4444+1) /3
P1343 = 155501...763883 ⇐ (77903×2^4444+1) /3
P1343 = 193011...561707 ⇐ (96695×2^4444+1) /3
P1343 = 194293...442731 ⇐ (97337×2^4444+1) /3
...

P1341 = 408279...934029 ⇐ ( 3409×2^4444+1) /5
P1341 = 706495...685197 ⇐ ( 5899×2^4444+1) /5
P1342 = 312814...399501 ⇐ (26119×2^4444+1) /5
P1342 = 322156...032397 ⇐ (26899×2^4444+1) /5
P1342 = 564201...289869 ⇐ (47109×2^4444+1) /5
P1342 = 590191...422413 ⇐ (49279×2^4444+1) /5
P1342 = 598814...314317 ⇐ (49999×2^4444+1) /5
P1342 = 663487...003597 ⇐ (55399×2^4444+1) /5
...

P1342 = 321595...977527 ⇐ (37593×2^4444+1) /7
P1342 = 528549...383223 ⇐ (61785×2^4444+1) /7
P1342 = 543280...573559 ⇐ (63507×2^4444+1) /7
P1342 = 698017...800503 ⇐ (81595×2^4444+1) /7
...



P1676 = 148645...540779 ⇐ ( 2677×2^5555+1) /3
P1676 = 830629...785771 ⇐ (14959×2^5555+1) /3
P1677 = 139700...276971 ⇐ (25159×2^5555+1) /3
P1677 = 166220...594027 ⇐ (29935×2^5555+1) /3
P1677 = 253042...275243 ⇐ (45571×2^5555+1) /3
P1677 = 264469...997291 ⇐ (47629×2^5555+1) /3
P1677 = 396268...392107 ⇐ (71365×2^5555+1) /3
P1677 = 434948...605803 ⇐ (78331×2^5555+1) /3
P1677 = 527434...636139 ⇐ (94987×2^5555+1) /3
...

P1676 = 918628...881933 ⇐ (27573×2^5555+1) /5
P1677 = 164125...095117 ⇐ (49263×2^5555+1) /5
P1677 = 280466...807629 ⇐ (84183×2^5555+1) /5
...

P1675 = 517591...804343 ⇐ ( 2175×2^5555+1) /7
P1676 = 121723...470903 ⇐ ( 5115×2^5555+1) /7
P1676 = 877668...477687 ⇐ (36881×2^5555+1) /7
P1676 = 929641...715703 ⇐ (39065×2^5555+1) /7
P1677 = 223497...808951 ⇐ (93917×2^5555+1) /7
...



P2011 = 175889...284523 ⇐ (11387×2^6666+1) /3
P2012 = 137357...337067 ⇐ (88925×2^6666+1) /3
P2012 = 153465...309931 ⇐ (99353×2^6666+1) /3
...

P2011 = 175172...176013 ⇐ (18901×2^6666+1) /5
P2011 = 180362...547981 ⇐ (19461×2^6666+1) /5
P2011 = 284718...312909 ⇐ (30721×2^6666+1) /5
P2011 = 408908...356429 ⇐ (44121×2^6666+1) /5
P2011 = 488705...575437 ⇐ (52731×2^6666+1) /5
P2011 = 498714...435661 ⇐ (53811×2^6666+1) /5
...

P2011 = 102125...875447 ⇐ (15427×2^6666+1) /7
P2011 = 163015...025143 ⇐ (24625×2^6666+1) /7
...



P2345 = 316380...569579 ⇐ ( 7363×2^7777+1) /3
P2345 = 428787...670763 ⇐ ( 9979×2^7777+1) /3
P2345 = 685570...516587 ⇐ (15955×2^7777+1) /3
P2346 = 216361...927339 ⇐ (50353×2^7777+1) /3
P2346 = 276741...209387 ⇐ (64405×2^7777+1) /3
P2346 = 357669...353003 ⇐ (83239×2^7777+1) /3
P2346 = 398197...736171 ⇐ (92671×2^7777+1) /3
...

P2345 = 488737...258061 ⇐ (18957×2^7777+1) /5
P2345 = 497245...768013 ⇐ (19287×2^7777+1) /5
P2346 = 111135...031821 ⇐ (43107×2^7777+1) /5
P2346 = 129672...778957 ⇐ (50297×2^7777+1) /5
P2346 = 145244...203533 ⇐ (56337×2^7777+1) /5
P2346 = 167132...141389 ⇐ (64827×2^7777+1) /5
P2346 = 226198...271693 ⇐ (87737×2^7777+1) /5
P2346 = 232411...086797 ⇐ (90147×2^7777+1) /5
...

P2346 = 381183...866871 ⇐ (206993×2^7777+1) /7
P2346 = 406526...693623 ⇐ (220755×2^7777+1) /7
...



P2680 = 142492...338859 ⇐ (11921×2^8888+1) /3
P2680 = 152820...626987 ⇐ (12785×2^8888+1) /3
P2680 = 392503...397291 ⇐ (32837×2^8888+1) /3
P2680 = 434172...240363 ⇐ (36323×2^8888+1) /3
P2680 = 435534...264491 ⇐ (36437×2^8888+1) /3
P2680 = 568285...509803 ⇐ (47543×2^8888+1) /3
P2680 = 577107...297579 ⇐ (48281×2^8888+1) /3
P2680 = 597690...135723 ⇐ (50003×2^8888+1) /3
P2680 = 664030...889323 ⇐ (55553×2^8888+1) /3
P2680 = 833500...047979 ⇐ (69731×2^8888+1) /3
P2680 = 842394...573867 ⇐ (70475×2^8888+1) /3
...

P2680 = 150673...399501 ⇐ (21009×2^8888+1) /5
P2680 = 275894...143053 ⇐ (38469×2^8888+1) /5
P2680 = 510055...078733 ⇐ (71119×2^8888+1) /5
P2680 = 607950...601613 ⇐ (84769×2^8888+1) /5
P2680 = 712301...554573 ⇐ (99319×2^8888+1) /5
...

P2680 = 127110...126647 ⇐ (24813×2^8888+1) /7
P2680 = 200048...786551 ⇐ (39051×2^8888+1) /7
P2680 = 212886...908599 ⇐ (41557×2^8888+1) /7
P2680 = 242434...010743 ⇐ (47325×2^8888+1) /7
P2680 = 373679...755703 ⇐ (72945×2^8888+1) /7
P2680 = 377767...828087 ⇐ (73743×2^8888+1) /7
P2680 = 390389...735799 ⇐ (76207×2^8888+1) /7
P2680 = 460602...347447 ⇐ (89913×2^8888+1) /7
...



P3014 = 491018...225899 ⇐ (14767×2^9999+1) /3
P3015 = 163798...428523 ⇐ (49261×2^9999+1) /3
P3015 = 220338...800107 ⇐ (66265×2^9999+1) /3
P3015 = 319592...945707 ⇐ (96115×2^9999+1) /3
...

P3013 = 874436...719501 ⇐ ( 4383×2^9999+1) /5
P3014 = 770353...913549 ⇐ (38613×2^9999+1) /5
P3015 = 135450...966477 ⇐ (67893×2^9999+1) /5
P3015 = 161905...599053 ⇐ (81153×2^9999+1) /5
P3015 = 165476...577357 ⇐ (82943×2^9999+1) /5
...

P3015 = 371439...683127 ⇐ (260651×2^9999+1) /7
...

Кофакторы чисел Прота n = 10000...99999  ⟰ вверх ⟰

Обработаны k = [3...999999], только нечетные.
Диапазон снова местами расширяется:

P3015 = 270164...466667 ⇐ ( 40625×2^10000+1) /3
P3015 = 653296...323371 ⇐ ( 98237×2^10000+1) /3
P3015 = 908784...592427 ⇐ (136655×2^10000+1) /3
P3015 = 936994...650091 ⇐ (140897×2^10000+1) /3
P3015 = 998881...134443 ⇐ (150203×2^10000+1) /3
P3016 = 115800...117419 ⇐ (174131×2^10000+1) /3
P3016 = 133141...013611 ⇐ (200207×2^10000+1) /3
P3016 = 144812...863211 ⇐ (217757×2^10000+1) /3
P3016 = 172895...039787 ⇐ (259985×2^10000+1) /3
P3016 = 178342...636267 ⇐ (268175×2^10000+1) /3
P3016 = 196417...582827 ⇐ (295355×2^10000+1) /3
P3016 = 207589...088427 ⇐ (312155×2^10000+1) /3
P3016 = 215282...442283 ⇐ (323723×2^10000+1) /3
P3016 = 244709...738283 ⇐ (367973×2^10000+1) /3
P3016 = 287156...422059 ⇐ (431801×2^10000+1) /3
P3016 = 289526...160747 ⇐ (435365×2^10000+1) /3
P3016 = 304976...568491 ⇐ (458597×2^10000+1) /3
P3016 = 310746...083883 ⇐ (467273×2^10000+1) /3
P3016 = 322409...095979 ⇐ (484811×2^10000+1) /3
P3016 = 332712...313643 ⇐ (500303×2^10000+1) /3
P3016 = 343166...443883 ⇐ (516023×2^10000+1) /3
P3016 = 352215...173419 ⇐ (529631×2^10000+1) /3
P3016 = 355647...300139 ⇐ (534791×2^10000+1) /3
P3016 = 381790...963243 ⇐ (574103×2^10000+1) /3
P3016 = 383123...826411 ⇐ (576107×2^10000+1) /3
P3016 = 388402...835307 ⇐ (584045×2^10000+1) /3
P3016 = 403353...899051 ⇐ (606527×2^10000+1) /3
P3016 = 431503...194411 ⇐ (648857×2^10000+1) /3
P3016 = 439128...429483 ⇐ (660323×2^10000+1) /3
P3016 = 459685...839787 ⇐ (691235×2^10000+1) /3
P3016 = 479365...124651 ⇐ (720827×2^10000+1) /3
P3016 = 480079...081259 ⇐ (721901×2^10000+1) /3
P3016 = 492245...856107 ⇐ (740195×2^10000+1) /3
P3016 = 493474...831723 ⇐ (742043×2^10000+1) /3
P3016 = 504586...056043 ⇐ (758753×2^10000+1) /3
P3016 = 515571...880299 ⇐ (775271×2^10000+1) /3
P3016 = 524046...309547 ⇐ (788015×2^10000+1) /3
P3016 = 536248...853163 ⇐ (806363×2^10000+1) /3
P3016 = 540649...736619 ⇐ (812981×2^10000+1) /3
P3016 = 544938...895019 ⇐ (819431×2^10000+1) /3
P3016 = 590542...811627 ⇐ (888005×2^10000+1) /3
P3016 = 601594...754667 ⇐ (904625×2^10000+1) /3
P3016 = 602476...298859 ⇐ (905951×2^10000+1) /3
P3016 = 650840...991851 ⇐ (978677×2^10000+1) /3
...

P3014 = 221811...484237 ⇐ (  5559×2^10000+1) /5
P3014 = 856241...299917 ⇐ ( 21459×2^10000+1) /5
P3015 = 101664...638221 ⇐ ( 25479×2^10000+1) /5
P3015 = 193836...955341 ⇐ ( 48579×2^10000+1) /5
P3015 = 197826...830541 ⇐ ( 49579×2^10000+1) /5
P3015 = 206804...049741 ⇐ ( 51829×2^10000+1) /5
P3015 = 247862...945549 ⇐ ( 62119×2^10000+1) /5
P3015 = 319445...186637 ⇐ ( 80059×2^10000+1) /5
P3015 = 339914...006413 ⇐ ( 85189×2^10000+1) /5
P3015 = 341790...687757 ⇐ ( 85659×2^10000+1) /5
P3015 = 371117...470477 ⇐ ( 93009×2^10000+1) /5
P3015 = 552349...442061 ⇐ (138429×2^10000+1) /5
P3015 = 580998...105997 ⇐ (145609×2^10000+1) /5
P3015 = 624410...708173 ⇐ (156489×2^10000+1) /5
P3015 = 834411...599949 ⇐ (209119×2^10000+1) /5
P3015 = 837244...331341 ⇐ (209829×2^10000+1) /5
P3016 = 172963...719821 ⇐ (433479×2^10000+1) /5
P3016 = 190979...385101 ⇐ (478629×2^10000+1) /5
P3016 = 255958...761421 ⇐ (641479×2^10000+1) /5
P3016 = 264876...672141 ⇐ (663829×2^10000+1) /5
P3016 = 308372...487693 ⇐ (772839×2^10000+1) /5
P3016 = 359785...107213 ⇐ (901689×2^10000+1) /5
P3016 = 365726...628941 ⇐ (916579×2^10000+1) /5
P3016 = 376871...203277 ⇐ (944509×2^10000+1) /5
P3016 = 397783...882509 ⇐ (996919×2^10000+1) /5
...

P3015 = 278439...926903 ⇐ ( 97695×2^10000+1) /7
P3015 = 396946...620343 ⇐ (139275×2^10000+1) /7
P3015 = 529538...133239 ⇐ (185797×2^10000+1) /7
P3015 = 579095...223223 ⇐ (203185×2^10000+1) /7
P3015 = 593859...161463 ⇐ (208365×2^10000+1) /7
P3015 = 617201...131383 ⇐ (216555×2^10000+1) /7
P3015 = 796756...515383 ⇐ (279555×2^10000+1) /7
P3015 = 983375...018487 ⇐ (345033×2^10000+1) /7
P3015 = 999016...169271 ⇐ (350521×2^10000+1) /7
P3016 = 116735...883959 ⇐ (409587×2^10000+1) /7
P3016 = 135345...943287 ⇐ (474883×2^10000+1) /7
P3016 = 135848...706039 ⇐ (476647×2^10000+1) /7
P3016 = 136475...450103 ⇐ (478845×2^10000+1) /7
P3016 = 186810...006583 ⇐ (655455×2^10000+1) /7
P3016 = 208664...511287 ⇐ (732133×2^10000+1) /7
P3016 = 218927...541431 ⇐ (768141×2^10000+1) /7
P3016 = 219142...154039 ⇐ (768897×2^10000+1) /7
P3016 = 259650...324343 ⇐ (911025×2^10000+1) /7
...



P3349 = 501836...510699 ⇐ ( 27127×2^11111+1) /3
P3350 = 183202...981163 ⇐ ( 99031×2^11111+1) /3
P3350 = 311182...488043 ⇐ (168211×2^11111+1) /3
P3350 = 349576...640107 ⇐ (188965×2^11111+1) /3
P3350 = 401456...608811 ⇐ (217009×2^11111+1) /3
P3350 = 459896...814251 ⇐ (248599×2^11111+1) /3
P3350 = 507314...784363 ⇐ (274231×2^11111+1) /3
P3350 = 507602...266859 ⇐ (274387×2^11111+1) /3
P3350 = 513574...558507 ⇐ (277615×2^11111+1) /3
P3350 = 530523...165099 ⇐ (286777×2^11111+1) /3
P3350 = 555697...022827 ⇐ (300385×2^11111+1) /3
P3350 = 556086...326187 ⇐ (300595×2^11111+1) /3
P3350 = 583524...123499 ⇐ (315427×2^11111+1) /3
P3350 = 655395...245099 ⇐ (354277×2^11111+1) /3
P3350 = 712703...480747 ⇐ (385255×2^11111+1) /3
P3350 = 741496...849771 ⇐ (400819×2^11111+1) /3
P3350 = 768978...567467 ⇐ (415675×2^11111+1) /3
P3350 = 844734...722667 ⇐ (456625×2^11111+1) /3
P3350 = 927616...099499 ⇐ (501427×2^11111+1) /3
P3350 = 952790...957227 ⇐ (515035×2^11111+1) /3
P3350 = 974201...562411 ⇐ (526609×2^11111+1) /3
P3351 = 100803...895019 ⇐ (544897×2^11111+1) /3
P3351 = 108484...159339 ⇐ (586417×2^11111+1) /3
P3351 = 108838...809963 ⇐ (588331×2^11111+1) /3
P3351 = 110197...447467 ⇐ (595675×2^11111+1) /3
P3351 = 112966...786987 ⇐ (610645×2^11111+1) /3
P3351 = 113655...426603 ⇐ (614371×2^11111+1) /3
P3351 = 117216...574571 ⇐ (633619×2^11111+1) /3
P3351 = 119156...782379 ⇐ (644107×2^11111+1) /3
P3351 = 137208...083627 ⇐ (741685×2^11111+1) /3
P3351 = 138280...856363 ⇐ (747481×2^11111+1) /3
P3351 = 140861...579563 ⇐ (761431×2^11111+1) /3
P3351 = 142645...573931 ⇐ (771079×2^11111+1) /3
P3351 = 143669...222443 ⇐ (776611×2^11111+1) /3
P3351 = 145396...251819 ⇐ (785947×2^11111+1) /3
P3351 = 147671...448619 ⇐ (798247×2^11111+1) /3
P3351 = 147970...094443 ⇐ (799861×2^11111+1) /3
P3351 = 150904...488171 ⇐ (815719×2^11111+1) /3
P3351 = 158897...159467 ⇐ (858925×2^11111+1) /3
P3351 = 163171...509163 ⇐ (882031×2^11111+1) /3
P3351 = 165392...681259 ⇐ (894037×2^11111+1) /3
P3351 = 171011...927211 ⇐ (924409×2^11111+1) /3
P3351 = 171090...514027 ⇐ (924835×2^11111+1) /3
P3351 = 173022...861163 ⇐ (935281×2^11111+1) /3
P3351 = 178869...006891 ⇐ (966889×2^11111+1) /3
...

P3349 = 241341...622733 ⇐ ( 21743×2^11111+1) /5
P3350 = 102564...981069 ⇐ ( 92403×2^11111+1) /5
P3350 = 153234...119309 ⇐ (138053×2^11111+1) /5
P3350 = 185679...939917 ⇐ (167283×2^11111+1) /5
P3350 = 193304...265869 ⇐ (174153×2^11111+1) /5
P3350 = 196357...792269 ⇐ (176903×2^11111+1) /5
P3350 = 199620...940493 ⇐ (179843×2^11111+1) /5
P3350 = 274277...066189 ⇐ (247103×2^11111+1) /5
P3350 = 304213...385101 ⇐ (274073×2^11111+1) /5
P3350 = 313148...362381 ⇐ (282123×2^11111+1) /5
P3350 = 351331...892621 ⇐ (316523×2^11111+1) /5
P3350 = 389570...323341 ⇐ (350973×2^11111+1) /5
P3350 = 434490...771853 ⇐ (391443×2^11111+1) /5
P3350 = 462228...031757 ⇐ (416433×2^11111+1) /5
P3350 = 471652...133261 ⇐ (424923×2^11111+1) /5
P3350 = 482474...726861 ⇐ (434673×2^11111+1) /5
P3350 = 534942...640653 ⇐ (481943×2^11111+1) /5
P3350 = 774263...490509 ⇐ (697553×2^11111+1) /5
P3350 = 824423...544333 ⇐ (742743×2^11111+1) /5
P3350 = 874638...498637 ⇐ (787983×2^11111+1) /5
P3350 = 888923...882189 ⇐ (800853×2^11111+1) /5
P3350 = 933145...584653 ⇐ (840693×2^11111+1) /5
P3350 = 956820...129421 ⇐ (862023×2^11111+1) /5
P3350 = 987478...154573 ⇐ (889643×2^11111+1) /5
P3351 = 100573...412493 ⇐ (906093×2^11111+1) /5
P3351 = 101416...305357 ⇐ (913683×2^11111+1) /5
P3351 = 105324...223373 ⇐ (948893×2^11111+1) /5
P3351 = 106937...302861 ⇐ (963423×2^11111+1) /5
P3351 = 107855...842253 ⇐ (971693×2^11111+1) /5
P3351 = 110686...067149 ⇐ (997203×2^11111+1) /5
...

P3348 = 375566...193911 ⇐ (  4737×2^11111+1) /7
P3349 = 297401...598647 ⇐ ( 37511×2^11111+1) /7
P3349 = 423826...927991 ⇐ ( 53457×2^11111+1) /7
P3350 = 142257...831799 ⇐ (179429×2^11111+1) /7
P3350 = 186179...071671 ⇐ (234827×2^11111+1) /7
P3350 = 196790...043447 ⇐ (248211×2^11111+1) /7
P3350 = 198133...635063 ⇐ (249905×2^11111+1) /7
P3350 = 198400...157367 ⇐ (250241×2^11111+1) /7
P3350 = 257839...571447 ⇐ (325211×2^11111+1) /7
P3350 = 311184...912823 ⇐ (392495×2^11111+1) /7
P3350 = 321928...645751 ⇐ (406047×2^11111+1) /7
P3350 = 338312...267447 ⇐ (426711×2^11111+1) /7
P3350 = 368447...228087 ⇐ (464721×2^11111+1) /7
P3350 = 402690...824247 ⇐ (507911×2^11111+1) /7
P3350 = 407874...529079 ⇐ (514449×2^11111+1) /7
P3350 = 428952...731383 ⇐ (541035×2^11111+1) /7
P3350 = 434158...396407 ⇐ (547601×2^11111+1) /7
P3350 = 466613...197111 ⇐ (588537×2^11111+1) /7
P3350 = 526885...118391 ⇐ (664557×2^11111+1) /7
P3350 = 629313...444279 ⇐ (793749×2^11111+1) /7
P3350 = 696622...746423 ⇐ (878645×2^11111+1) /7
P3350 = 751732...923063 ⇐ (948155×2^11111+1) /7
P3350 = 771367...712887 ⇐ (972921×2^11111+1) /7
...



P6694 = 239682...195627 ⇐ ( 23345×2^22222+1) /3
P6695 = 118915...258731 ⇐ (115823×2^22222+1) /3
P6695 = 217367...463787 ⇐ (211715×2^22222+1) /3
P6695 = 302242...192811 ⇐ (294383×2^22222+1) /3
P6695 = 306769...379691 ⇐ (298793×2^22222+1) /3
P6695 = 308587...339051 ⇐ (300563×2^22222+1) /3
P6695 = 354209...945899 ⇐ (344999×2^22222+1) /3
P6695 = 416082...748651 ⇐ (405263×2^22222+1) /3
P6695 = 416273...371499 ⇐ (405449×2^22222+1) /3
P6695 = 420246...943659 ⇐ (409319×2^22222+1) /3
P6695 = 437489...761451 ⇐ (426113×2^22222+1) /3
P6695 = 500027...701867 ⇐ (487025×2^22222+1) /3
P6695 = 604935...576107 ⇐ (589205×2^22222+1) /3
P6695 = 739886...083563 ⇐ (720647×2^22222+1) /3
P6695 = 743711...625131 ⇐ (724373×2^22222+1) /3
P6695 = 776182...593899 ⇐ (755999×2^22222+1) /3
P6695 = 815028...131947 ⇐ (793835×2^22222+1) /3
P6695 = 831013...689707 ⇐ (809405×2^22222+1) /3
P6695 = 927420...804907 ⇐ (903305×2^22222+1) /3
P6695 = 974841...117291 ⇐ (949493×2^22222+1) /3
P6695 = 976012...192811 ⇐ (950633×2^22222+1) /3
P6696 = 101323...394347 ⇐ (986885×2^22222+1) /3
...

P6694 = 121608...624653 ⇐ ( 19741×2^22222+1) /5
P6695 = 105998...458317 ⇐ (172071×2^22222+1) /5
P6695 = 123703...621709 ⇐ (200811×2^22222+1) /5
P6695 = 132968...872141 ⇐ (215851×2^22222+1) /5
P6695 = 149748...344333 ⇐ (243091×2^22222+1) /5
P6695 = 181146...591309 ⇐ (294061×2^22222+1) /5
P6695 = 198235...293901 ⇐ (321801×2^22222+1) /5
P6695 = 230576...485901 ⇐ (374301×2^22222+1) /5
P6695 = 361862...651597 ⇐ (587421×2^22222+1) /5
P6695 = 415073...495501 ⇐ (673801×2^22222+1) /5
P6695 = 451733...997709 ⇐ (733311×2^22222+1) /5
P6695 = 524182...072397 ⇐ (850921×2^22222+1) /5
P6695 = 529443...327629 ⇐ (859461×2^22222+1) /5
P6695 = 590491...792909 ⇐ (958561×2^22222+1) /5
...

P6694 = 778044...188599 ⇐ (176823×2^22222+1) /7
P6695 = 120494...522039 ⇐ (273843×2^22222+1) /7
P6695 = 145757...499447 ⇐ (331257×2^22222+1) /7
P6695 = 355031...802423 ⇐ (806865×2^22222+1) /7
P6695 = 365786...527991 ⇐ (831309×2^22222+1) /7
P6695 = 369150...723959 ⇐ (838953×2^22222+1) /7
...



P10039 = 460793...061483 ⇐ ( 80869×2^33333 +1) /3
P10040 = 178866...248043 ⇐ (313909×2^33333 +1) /3
P10040 = 204353...974763 ⇐ (358639×2^33333 +1) /3
P10040 = 214920...814507 ⇐ (377185×2^33333 +1) /3
P10040 = 253009...185451 ⇐ (444031×2^33333 +1) /3
P10040 = 277239...836459 ⇐ (486553×2^33333 +1) /3
P10040 = 312097...988523 ⇐ (547729×2^33333 +1) /3
P10040 = 334254...042027 ⇐ (586615×2^33333 +1) /3
P10040 = 392736...175531 ⇐ (689251×2^33333 +1) /3
P10040 = 420459...596587 ⇐ (737905×2^33333 +1) /3
P10040 = 445290...935979 ⇐ (781483×2^33333 +1) /3
P10040 = 483943...202283 ⇐ (849319×2^33333 +1) /3
P10040 = 505892...403563 ⇐ (887839×2^33333 +1) /3
...

P10039 = 914454...315277 ⇐ (267477×2^33333 +1) /5
P10040 = 116262...729933 ⇐ (340067×2^33333 +1) /5
P10040 = 174190...911629 ⇐ (509507×2^33333 +1) /5
P10040 = 196861...142733 ⇐ (575817×2^33333 +1) /5
P10040 = 229343...371917 ⇐ (670827×2^33333 +1) /5
P10040 = 229544...261773 ⇐ (671417×2^33333 +1) /5
P10040 = 237165...320909 ⇐ (693707×2^33333 +1) /5
P10040 = 319989...484493 ⇐ (935967×2^33333 +1) /5
P10040 = 340263...905613 ⇐ (995267×2^33333 +1) /5
P10040 = 340779...064397 ⇐ (996777×2^33333 +1) /5
...

P10040 = 105466...403703 ⇐ (431885×2^33333 +1) /7
P10040 = 124335...558199 ⇐ (509151×2^33333 +1) /7
P10040 = 238079...549879 ⇐ (974931×2^33333 +1) /7
...



P13384 = 132131...035243 ⇐ ( 41783×2^44444+1) /3
P13384 = 341470...662699 ⇐ (107981×2^44444+1) /3
P13384 = 795023...974827 ⇐ (251405×2^44444+1) /3
P13384 = 796161...384747 ⇐ (251765×2^44444+1) /3
P13385 = 117084...046251 ⇐ (370247×2^44444+1) /3
P13385 = 239209...037931 ⇐ (756437×2^44444+1) /3
P13385 = 293158...542187 ⇐ (927035×2^44444+1) /3
...

P13384 = 328057...899597 ⇐ (172899×2^44444+1) /5
P13384 = 374126...487693 ⇐ (197179×2^44444+1) /5
P13384 = 962450...077517 ⇐ (507249×2^44444+1) /5
P13385 = 102252...207629 ⇐ (538909×2^44444+1) /5
P13385 = 139991...596109 ⇐ (737809×2^44444+1) /5
...

P13384 = 271220...891191 ⇐ (200121×2^44444+1) /7
P13384 = 303722...844407 ⇐ (224103×2^44444+1) /7
P13385 = 104351...724087 ⇐ (769963×2^44444+1) /7
P13385 = 130588...196983 ⇐ (963555×2^44444+1) /7
...



P16729 = 303852...994603 ⇐ (173131×2^55555+1) /3
P16729 = 340487...603947 ⇐ (194005×2^55555+1) /3
P16729 = 429362...583787 ⇐ (244645×2^55555+1) /3
P16729 = 684289...706411 ⇐ (389899×2^55555+1) /3
P16729 = 777040...606699 ⇐ (442747×2^55555+1) /3
P16730 = 145399...788331 ⇐ (828469×2^55555+1) /3
P16730 = 157663...210987 ⇐ (898345×2^55555+1) /3
P16730 = 165087...159787 ⇐ (940645×2^55555+1) /3
...

P16728 = 180099...972941 ⇐ ( 17103×2^55555+1) /5
P16729 = 578009...009421 ⇐ (548903×2^55555+1) /5
P16729 = 757413...215053 ⇐ (719273×2^55555+1) /5
P16729 = 935785...642957 ⇐ (888663×2^55555+1) /5
P16730 = 102217...749901 ⇐ (970703×2^55555+1) /5
...

P16729 = 717397...943287 ⇐ (953781×2^55555+1) /7
...



P20072 = 392044...205867 ⇐ (  4025×2^66666+1) /3
P20073 = 523041...468779 ⇐ ( 53699×2^66666+1) /3
P20074 = 122924...362731 ⇐ (126203×2^66666+1) /3
P20074 = 154956...069099 ⇐ (159089×2^66666+1) /3
P20074 = 167305...289963 ⇐ (171767×2^66666+1) /3
P20074 = 209838...603947 ⇐ (215435×2^66666+1) /3
P20074 = 224005...333419 ⇐ (229979×2^66666+1) /3
P20074 = 670117...872299 ⇐ (687989×2^66666+1) /3
P20074 = 679719...257003 ⇐ (697847×2^66666+1) /3
P20074 = 728904...387051 ⇐ (748343×2^66666+1) /3
...

P20074 = 186504...777357 ⇐ (319131×2^66666+1) /5
P20074 = 410271...089549 ⇐ (702021×2^66666+1) /5
...

P20074 = 316787...635959 ⇐ (758883×2^66666+1) /7
P20074 = 396589...407799 ⇐ (950053×2^66666+1) /7
...



P23417 = 313043...139051 ⇐ (  5791×2^77777+1) /3
P23418 = 393691...469163 ⇐ ( 72829×2^77777+1) /3
P23419 = 204546...321451 ⇐ (378391×2^77777+1) /3
P23419 = 253356...984107 ⇐ (468685×2^77777+1) /3
P23419 = 270702...845419 ⇐ (500773×2^77777+1) /3
P23419 = 333319...891883 ⇐ (616609×2^77777+1) /3
P23419 = 350231...664299 ⇐ (647893×2^77777+1) /3
P23419 = 425909...449451 ⇐ (787891×2^77777+1) /3
P23419 = 469442...279019 ⇐ (868423×2^77777+1) /3
...

P23419 = 454126...310797 ⇐ (1400147×2^77777+1) /5
P23419 = 553728...332493 ⇐ (1707237×2^77777+1) /5
...

P23419 = 163946...427191 ⇐ (707663×2^77777+1) /7
P23419 = 200415...199927 ⇐ (865079×2^77777+1) /7
...



P26763 = 920830...567787 ⇐ (306935×2^88888+1) /3
P26764 = 123391...349803 ⇐ (411293×2^88888+1) /3
P26764 = 179808...456107 ⇐ (599345×2^88888+1) /3
P26764 = 230013...737899 ⇐ (766691×2^88888+1) /3
P26764 = 285300...509867 ⇐ (950975×2^88888+1) /3
P26764 = 297429...708523 ⇐ (991403×2^88888+1) /3
...

P26763 = 191415...949197 ⇐ (106339×2^88888+1) /5
P26763 = 395577...815501 ⇐ (219759×2^88888+1) /5
P26763 = 609441...924173 ⇐ (338569×2^88888+1) /5
P26764 = 130874...237261 ⇐ (727059×2^88888+1) /5
P26764 = 132393...603789 ⇐ (735499×2^88888+1) /5
P26764 = 170588...002317 ⇐ (947689×2^88888+1) /5
...

P26762 = 585414...398391 ⇐ ( 45531×2^88888+1) /7
P26763 = 134233...159351 ⇐ (104401×2^88888+1) /7
P26763 = 878212...666423 ⇐ (683035×2^88888+1) /7
...



P30109 = 186586...335211 ⇐ (1120639×2^99999+1) /3
...

P30108 = 523430...688333 ⇐ (523953×2^99999+1) /5
P30108 = 541861...487053 ⇐ (542403×2^99999+1) /5
P30108 = 750113...539149 ⇐ (750863×2^99999+1) /5
...

P30108 = 921159...262967 ⇐ (1290911×2^99999+1) /7
...

Кофакторы чисел Прота n = 100000...999999  ⟰ вверх ⟰

Обработаны k = [3...999999], только нечетные.
Исследуются и другие делители, помимо 3, 5, 7:

P30108 = 640037...798443 ⇐ (192203×2^100000+1) /3
...

P30107 = 349031...537869 ⇐ ( 17469×2^100000+1) /5
P30108 = 454863...486157 ⇐ (227659×2^100000+1) /5
P30109 = 139122...298637 ⇐ (696309×2^100000+1) /5
P30109 = 165150...980941 ⇐ (826579×2^100000+1) /5
...

P30108 = 413151...829303 ⇐ (289495×2^100000+1) /7
P30108 = 942003...975991 ⇐ (660061×2^100000+1) /7
...



P33453 = 483178...199787 ⇐ (261445×2^111111+1) /3
P33454 = 158383...528747 ⇐ (857005×2^111111+1) /3
P33454 = 178309...853867 ⇐ (964825×2^111111+1) /3
...

P33453 = 956731...376909 ⇐ (862803×2^111111+1) /5
...

P33453 = 180987...771191 ⇐ (228507×2^111111+1) /7
...



P66901 = 324749...234283 ⇐ (316937×2^222222+1) /3
...

P66901 = 214205...120397 ⇐ (348421×2^222222+1) /5
P66901 = 610185...637069 ⇐ (992511×2^222222+1) /5
...

P66901 = 229648...726903 ⇐ (522955×2^222222+1) /7
...



P100349 = 914047...964971 ⇐ (1608961×2^333333+1) /3
...

P100349 = 144700...228813 ⇐ (424517×2^333333+1) /5
P100349 = 302371...857101 ⇐ (887087×2^333333+1) /5
...

P100349 = 282353...216311 ⇐ (1159703×2^333333+1) /7
...



P133797 = 716942...556203 ⇐ (2276213×2^444444+1) /3
...

P133797 = 265248...386509 ⇐ (1403559×2^444444+1) /5
...

P133795 = 550683...890103 ⇐ (40795×2^444444+1) /7
...

P133797 = 127026...038777 ⇐ (1209887×2^444444+1) /3^2
...

P133796 = 229893...004777 ⇐ (608239×2^444444+1) /5^2
...

P133796 = 638548...283859 ⇐ (1824587×2^444444+1) /3^3
...



Степень n = 555555 зарезервирована Alex_soldier



Степень n = 666666 ждет своих искателей...



Степень n = 777777 ждет своих искателей...



Степень n = 888888 ждет своих искателей...



Степень n = 999999 ждет своих искателей...

Кофакторы чисел Прота n = 1000000...9999999  ⟰ вверх ⟰

Будут приведены все найденные кофакторы:

Степень n = 1000000 ждет своих искателей...



Степень n = 2222222 ждет своих искателей...



Степень n = 3333333 ждет своих искателей...



Степень n = 4444444 ждет своих искателей...



Степень n = 5555555 ждет своих искателей...



Степень n = 6666666 ждет своих искателей...



Степень n = 7777777 ждет своих искателей...



Степень n = 8888888 ждет своих искателей...



Степень n = 9999999 ждет своих искателей...

Некоторые исторические результаты  ⟰ вверх ⟰

Отсортированы в порядке роста знаменателя.
Приведен только один наибольший результат
для каждого исследованного знаменателя.
Исключены числа Вагстафа (2^p+1)/3
Исключены кофакторы чисел Ферма (2^2^n+1)/d
Исключены кофакторы чисел Каллена (n×2^n+1)/d


P133797 = (2276213*2^444444+1)/3	2022: Alex_soldier
P139670 = (31*2^463970+1)/5	2015: Lelio R Paula
P145258 = (19*2^482534+1)/7	2015: Lelio R Paula
P135261 = (19*2^449325+1)/9	2015: Lelio R Paula
P142461 = (19*2^473242+1)/11	2015: Lelio R Paula
P83489 = (9*2^277342+1)/13	2012: Lelio R Paula
P137564 = (11*2^456978+1)/15	2015: Lelio R Paula
P133989 = (13*2^445102+1)/17	2015: Lelio R Paula
P137386 = (11*2^456387+1)/19	2015: Lelio R Paula
P97536 = (55459*2^323993+1)/21	2014: Lelio R Paula
P73525 = (11*2^244245+1)/23	2012: Lelio R Paula
P141466 = (23*2^469939+1)/25	2015: Lelio R Paula
P133796 = (1824587*2^444444+1)/27	2022: Alex_soldier
P51705 = (3*2^171761+1)/29	2012: Lelio R Paula
P91661 = (29*2^304489+1)/31	2013: Lelio R Paula
P12525 = (17*2^41606+1)/33	2011: Lelio R Paula
P108933 = (24737*2^361857+1)/35	2014: Lelio R Paula
P80813 = (9*2^268454+1)/37	2012: Lelio R Paula
P146591 = (7*2^486967+1)/39	2015: Lelio R Paula
P28791 = (5*2^95643+1)/41	2012: Lelio R Paula
P125436 = (11*2^416691+1)/43	2014: Lelio R Paula
P102333 = (13*2^339943+1)/45	2013: Lelio R Paula
P100792 = (5*2^334825+1)/47	2013: Lelio R Paula
P109499 = (31*2^363748+1)/49	2014: Lelio R Paula
P21667 = (47*2^71974+1)/51	2015: Lelio R Paula
P56581 = (5*2^187959+1)/53	2012: Lelio R Paula
P87191 = (55459*2^289632+1)/55	2014: Lelio R Paula
P31471 = (7*2^104547+1)/57	2011: Lelio R Paula
P58622 = (15*2^194737+1)/59	2012: Lelio R Paula
P52213 = (25*2^173446+1)/61	2012: Lelio R Paula
P72505 = (78557*2^240844+1)/63	2014: Lelio R Paula
P74846 = (7*2^248634+1)/71	2012: Lelio R Paula
P119853 = (9*2^398145+1)/73	2014: Lelio R Paula
P135979 = (11*2^451714+1)/75	2015: Lelio R Paula
P104173 = (3*2^346057+1)/77	2013: Lelio R Paula
P46483 = (33*2^154413+1)/79	2015: Michael Porter
P109401 = (55459*2^363411+1)/81	2014: Lelio R Paula
P72563 = (25*2^241048+1)/89	2012: Lelio R Paula
P78762 = (23*2^261642+1)/93	2012: Lelio R Paula
P63005 = (31*2^209298+1)/95	2012: Lelio R Paula
P16962 = (17*2^56346+1)/99	2011: Lelio R Paula
P127447 = (21*2^423372+1)/101	2014: Lelio R Paula
P39007 = (3*2^129582+1)/103	2012: Lelio R Paula
P34890 = (21*2^115904+1)/107	2012: Lelio R Paula
P56052 = (22699*2^186193+1)/111	2014: Lelio R Paula
P29292 = (15*2^97307+1)/113	2012: Lelio R Paula
P97138 = (13*2^322686+1)/119	2013: Lelio R Paula
P12564 = (7*2^41738+1)/121	2012: Lelio R Paula
P21584 = (78557*2^71690+1)/123	2014: Lelio R Paula
P57686 = (27*2^191629+1)/125	2012: Lelio R Paula
P10638 = (27*2^35339+1)/131	2012: Lelio R Paula
P74719 = (7*2^248213+1)/135	2012: Lelio R Paula
P79093 = (9*2^262745+1)/137	2012: Lelio R Paula
P107455 = (5*2^356961+1)/143	2014: Lelio R Paula
P55308 = (17*2^183729+1)/145	2012: Lelio R Paula
P15413 = (21*2^51201+1)/149	2012: Lelio R Paula
P55014 = (23*2^182753+1)/151	2012: Lelio R Paula
P134755 = (23*2^447647+1)/155	2015: Lelio R Paula
P91739 = (78557*2^304740+1)/159	2014: Lelio R Paula
P59987 = (19*2^199274+1)/161	2012: Lelio R Paula
P12487 = (9*2^41482+1)/169	2012: Lelio R Paula
P58746 = (22699*2^195140+1)/175	2014: Lelio R Paula
P94001 = (67607*2^312254+1)/177	2014: Lelio R Paula
P16026 = (25*2^53238+1)/181	2012: Lelio R Paula
P44363 = (13*2^147374+1)/187	2012: Lelio R Paula
P109033= (78557*2^362188+1)/189	2014: Lelio R Paula
P30674 = (67607*2^101886+1)/207	2014: Lelio R Paula
P57314 = (21*2^190393+1)/211	2012: Lelio R Paula
P83504 = (22699*2^277387+1)/219	2014: Lelio R Paula
P84104 = (22699*2^279378+1)/221	2014: Lelio R Paula
P12989 = (27*2^43150+1)/223	2012: Lelio R Paula
P11192 = (29*2^37181+1)/233	2012: Lelio R Paula
P69772 = (19*2^231780+1)/235	2012: Lelio R Paula
P58049 = (10223*2^192828+1)/243	2014: Lelio R Paula
P73527 = (3*2^244255+1)/245	2012: Lelio R Paula
P12166 = (3*2^40420+1)/259	2012: Lelio R Paula
P121589 = (15*2^403912+1)/271	2014: Lelio R Paula
P98494 = (19*2^327192+1)/275	2013: Lelio R Paula
P15385 = (13*2^51112+1)/277	2012: Lelio R Paula
P117858 = (7*2^391521+1)/285	2014: Lelio R Paula
P64627 = (21*2^214688+1)/293	2012: Lelio R Paula
P68752 = (17*2^228393+1)/295	2012: Lelio R Paula
P88359 = (5*2^293526+1)/303	2013: Lelio R Paula
P12445 = (19*2^41344+1)/305	2012: Lelio R Paula
P20195 = (22699*2^67078+1)/307	2014: Lelio R Paula
P17626 = (3*2^58557+1)/319	2012: Lelio R Paula
P29277 = (13*2^97260+1)/329	2012: Lelio R Paula
P13804 = (3*2^45860+1)/361	2012: Lelio R Paula
P101904 = (9*2^338520+1)/365	2013: Lelio R Paula
P37481 = (22699*2^124502+1)/371	2014: Lelio R Paula
P22826 = (11*2^75829+1)/373	2012: Lelio R Paula
P46148 = (47*2^153303+1)/377	2015: Lelio R Paula
P28325 = (10223*2^94088+1)/381	2014: Lelio R Paula
P89714 = (22699*2^298016+1)/385	2014: Lelio R Paula
P90882 = (24737*2^301896+1)/399	2014: Lelio R Paula
P46665 = (9*2^155023+1)/401	2012: Lelio R Paula
P52445 = (15*2^174221+1)/403	2012: Lelio R Paula
P21899 = (5*2^72751+1)/407	2012: Lelio R Paula
P66685 = (25*2^221526+1)/409	2012: Lelio R Paula
P17116 = (13*2^56861+1)/417	2011: Lelio R Paula
P63084 = (55459*2^209553+1)/423	2014: Lelio R Paula
P12348 = (17*2^41023+1)/427	2012: Lelio R Paula
P32549 = (31*2^108129+1)/429	2012: Lelio R Paula
P22845 = (27*2^75892+1)/433	2012: Lelio R Paula
P13806 = (29*2^45864+1)/465	2012: Lelio R Paula
P45933 = (15*2^152590+1)/467	2012: Lelio R Paula
P99778 = (23*2^331459+1)/475	2013: Lelio R Paula
P21676 = (19*2^72009+1)/477	2011: Lelio R Paula
P100970 = (15*2^335417+1)/481	2013: Lelio R Paula
P54688 = (23*2^181674+1)/489	2012: Lelio R Paula
P40886 = (9*2^135825+1)/491	2012: Lelio R Paula
P47850 = (3*2^158960+1)/499	2012: Lelio R Paula
P78296 = (78557*2^260084+1)/519	2014: Lelio R Paula
P35442 = (11*2^117739+1)/521	2012: Lelio R Paula
P139361 = (15*2^462951+1)/527	2015: Lelio R Paula
P40662 = (19*2^135078+1)/529	2012: Lelio R Paula
P30010 = (19*2^99693+1)/531	2011: Lelio R Paula
P141601 = (21*2^470391+1)/533	2015: Lelio R Paula
P77596 = (31*2^257771+1)/537	2012: Lelio R Paula
P11648 = (25*2^38698+1)/541	2012: Lelio R Paula
P33654 = (11*2^111801+1)/557	2012: Lelio R Paula
P20309 = (47*2^67466+1)/567	2015: Lelio R Paula
P29038 = (9*2^96467+1)/569	2012: Lelio R Paula
P14842 = (7*2^49308+1)/583	2012: Lelio R Paula
P16526 = (27*2^54901+1)/605	2012: Lelio R Paula
P86504 = (78557*2^287351+1)/611	2014: Lelio R Paula
P45036 = (21181*2^149599+1)/621	2014: Lelio R Paula
P50275 = (15*2^167013+1)/649	2012: Lelio R Paula
P20004 = (1999*2^66449+1)/669	2009: Lelio R Paula
P47510 = (11*2^157828+1)/687	2012: Lelio R Paula
P140241 = (27*2^465872+1)/691	2015: Lelio R Paula
P18399 = (3*2^61125+1)/727	2012: Lelio R Paula
P144386 = (27*2^479642+1)/733	2015: Lelio R Paula
P31018 = (10223*2^103035+1)/745	2014: Lelio R Paula
P132959 = (3*2^441685+1)/749	2015: Lelio R Paula
P14793 = (9*2^49145+1)/761	2012: Lelio R Paula
P109511= (22699*2^363782+1)/763	2014: Lelio R Paula
P22465 = (21181*2^74620+1)/793	2014: Lelio R Paula
P66463 = (23*2^220790+1)/807	2012: Lelio R Paula
P30817 = (10223*2^102365+1)/839	2014: Lelio R Paula
P44936 = (10223*2^149269+1)/889	2014: Lelio R Paula
P52236 = (10223*2^173518+1)/903	2014: Lelio R Paula
P12572 = (29*2^41765+1)/929	2012: Lelio R Paula
P100558 = (21*2^334050+1)/935	2013: Lelio R Paula
P22661 = (78557*2^75269+1)/965	2014: Lelio R Paula
P19739 = (3*2^65578+1)/973	2012: Lelio R Paula
P21385 = (9*2^71043+1)/977	2012: Lelio R Paula
P44905 = (11*2^149177+1)/991	2012: Lelio R Paula
P82740 = (3*2^274862+1)/1027	2012: Lelio R Paula
P42137= (21181*2^139971+1)/1029	2014: Lelio R Paula
P103801 = (47*2^344822+1)/1071	2015: Lelio R Paula
P35139 = (7*2^116734+1)/1073	2012: Lelio R Paula
P58662= (24737*2^194865+1)/1085	2014: Lelio R Paula
P50917= (10223*2^169138+1)/1113	2014: Lelio R Paula
P10383 = (31*2^34494+1)/1135	2012: Lelio R Paula
P22229 = (47*2^73845+1)/1195	2015: Lelio R Paula
P30448 = (7*2^101152+1)/1219	2012: Lelio R Paula
P24118 = (31*2^80122+1)/1225	2012: Lelio R Paula
P33517 = (9*2^111346+1)/1261	2012: Lelio R Paula
P50241 = (3*2^166904+1)/1279	2012: Lelio R Paula
P12201 = (19*2^40536+1)/1315	2012: Lelio R Paula
P61954= (55459*2^205800+1)/1345	2014: Lelio R Paula
P21915 = (31*2^72804+1)/1349	2012: Lelio R Paula
P32399 = (19*2^107632+1)/1375	2012: Lelio R Paula
P15847 = (19*2^52646+1)/1393	2012: Lelio R Paula
P69442 = (29*2^230684+1)/1395	2012: Lelio R Paula
P42957 = (33*2^142705+1)/1439	2015: Michael Porter
P12150 = (31*2^40365+1)/1443	2011: Lelio R Paula
P54869 = (17*2^182274+1)/1467	2012: Lelio R Paula
P95834= (10223*2^318350+1)/1563	2014: Lelio R Paula
P43679= (24737*2^145094+1)/1569	2014: Lelio R Paula
P48409= (22699*2^160806+1)/1573	2014: Lelio R Paula
P10528 = (13*2^34978+1)/1577	2012: Lelio R Paula
P102379=(55459*2^340090+1)/1591	2014: Lelio R Paula
P39686= (21181*2^131827+1)/1611	2014: Lelio R Paula
P54644= (67607*2^181517+1)/1655	2014: Lelio R Paula
P122904 = (13*2^408283+1)/1665	2014: Lelio R Paula
P13320 = (9*2^44255+1)/1681	2012: Lelio R Paula
P32371= (10223*2^107529+1)/1703	2014: Lelio R Paula
P51388 = (15*2^170713+1)/1793	2012: Lelio R Paula
P33486 = (21*2^111242+1)/1955	2012: Lelio R Paula
P117482 = (17*2^390272+1)/1983	2014: Lelio R Paula
P49303 = (19*2^163785+1)/2043	2012: Lelio R Paula
P26266 = (22699*2^87249+1)/2097	2014: Lelio R Paula
P98814 = (21*2^328258+1)/2125	2013: Lelio R Paula
P27051 = (3*2^89868+1)/2179	2012: Lelio R Paula
P25418 = (13*2^84444+1)/2233	2012: Lelio R Paula
P100272 = (31*2^333102+1)/2375	2013: Lelio R Paula
P17020 = (19*2^56546+1)/2401	2012: Lelio R Paula
P33210= (78557*2^110316+1)/2409	2014: Lelio R Paula
P15360 = (27*2^51031+1)/2453	2012: Lelio R Paula
P51936 = (7*2^172534+1)/2479	2012: Lelio R Paula
P84644 = (21*2^281187+1)/2483	2013: Lelio R Paula
P22308 = (21181*2^74100+1)/2569	2014: Lelio R Paula
🏆 P149812= (5*2^497673+1)/2743	2015: Lelio R Paula ⇐ Мировой рекорд!
P63570 = (7*2^211181+1)/2745	2012: Lelio R Paula
P22935 = (21181*2^76183+1)/2799	2014: Lelio R Paula
P34331 = (3*2^114053+1)/2813	2012: Lelio R Paula
P37720= (78557*2^125297+1)/2845	2014: Lelio R Paula
P37322= (22699*2^123978+1)/2873	2014: Lelio R Paula
P64565= (24737*2^214476+1)/2877	2014: Lelio R Paula
P12555 = (23*2^41712+1)/2883	2012: Lelio R Paula
P51487= (22699*2^171030+1)/3029	2014: Lelio R Paula
P36784 = (3*2^122202+1)/3079	2012: Lelio R Paula
P52791= (78557*2^175360+1)/3087	2014: Lelio R Paula
P57256= (10223*2^190197+1)/3211	2014: Lelio R Paula
P13658 = (7*2^45379+1)/3237	2011: Lelio R Paula
P90005 = (25*2^298997+1)/3267	2013: Lelio R Paula
P49924= (22699*2^165838+1)/3287	2014: Lelio R Paula
P131211 = (11*2^435879+1)/3337	2015: Lelio R Paula
P137196 = (19*2^455760+1)/3455	2015: Lelio R Paula
P71295 = (25*2^236843+1)/3753	2012: Lelio R Paula
P81846= (24737*2^271883+1)/3757	2014: Lelio R Paula
P13340 = (19*2^44320+1)/3845	2012: Lelio R Paula
P95292 = (23*2^316559+1)/3925	2013: Lelio R Paula
P25215 = (22699*2^83759+1)/4137	2014: Lelio R Paula
P51355= (22699*2^170592+1)/4435	2014: Lelio R Paula
P27652 = (23*2^91865+1)/4499	2012: Lelio R Paula
P88993 = (27*2^295634+1)/4687	2013: Lelio R Paula
P107022=(10223*2^355515+1)/4855	2014: Lelio R Paula
P58357= (22699*2^193854+1)/4927	2014: Lelio R Paula
P18210 = (3*2^60503+1)/4975	2012: Lelio R Paula
P26228 = (55459*2^87122+1)/5159	2014: Lelio R Paula
P30008 = (15*2^99691+1)/5177	2012: Lelio R Paula
P29056 = (22699*2^96518+1)/5341	2014: Lelio R Paula
P19499 = (17*2^64782+1)/5571	2011: Lelio R Paula
P15382 = (27*2^51103+1)/6107	2012: Lelio R Paula
P28523 = (7*2^94759+1)/6123	2011: Lelio R Paula
P98190= (10223*2^326179+1)/6125	2014: Lelio R Paula
P80875= (22699*2^268657+1)/6351	2014: Lelio R Paula
P21987 = (78557*2^73033+1)/6685	2014: Lelio R Paula
P43105 = (27*2^143198+1)/6913	2012: Lelio R Paula
P38159= (67607*2^126756+1)/6939	2014: Lelio R Paula
P51554 = (17*2^171266+1)/6963	2012: Lelio R Paula
P46267= (67607*2^153691+1)/7033	2014: Lelio R Paula
P101293=(24737*2^336485+1)/7285	2014: Lelio R Paula
P12352 = (3*2^41043+1)/7375	2012: Lelio R Paula
P53587 = (5*2^178021+1)/8173	2012: Lelio R Paula
P29921 = (22699*2^99393+1)/8343	2014: Lelio R Paula
P52848 = (15*2^175565+1)/8359	2012: Lelio R Paula
P46241 = (29*2^153615+1)/8881	2012: Lelio R Paula
P23006 = (22699*2^76421+1)/8967	2014: Lelio R Paula
P41640= (67607*2^138319+1)/9061	2014: Lelio R Paula
P36280= (55459*2^120515+1)/9093	2014: Lelio R Paula
P66012 = (27*2^219293+1)/9145	2012: Lelio R Paula
P22776 = (33*2^75666+1)/9157	2015: Michael Porter
P75695 = (5*2^251464+1)/9423	2012: Lelio R Paula
P16037 = (21*2^53281+1)/9773	2012: Lelio R Paula
P58037 = (27*2^192803+1)/9827	2012: Lelio R Paula
P39718 = (11*2^131950+1)/9915	2012: Lelio R Paula
P72875 = (23*2^242093+1)/10117	2012: Lelio R Paula
P123478 = (25*2^410192+1)/10397	2014: Lelio R Paula
P67824 = (29*2^225314+1)/10881	2012: Lelio R Paula
P34147 = (33*2^113442+1)/11369	2015: Michael Porter
P31671=(67607*2^105205+1)/11825	2014: Lelio R Paula
P30125=(10223*2^100072+1)/12201	2014: Lelio R Paula
P19618 = (9*2^65179+1)/12331	2012: Lelio R Paula
P34005 = (47*2^112967+1)/12551	2015: Lelio R Paula
P60571=(78557*2^201207+1)/13067	2014: Lelio R Paula
P43756=(67607*2^145350+1)/13203	2014: Lelio R Paula
P35656 = (15*2^118456+1)/13547	2012: Lelio R Paula
P103515 = (17*2^343877+1)/13625	2013: Lelio R Paula
P10560 = (25*2^35087+1)/13761	2011: Lelio R Paula
P28727= (21181*2^95426+1)/14465	2014: Lelio R Paula
P33358=(22699*2^110809+1)/14541	2014: Lelio R Paula
P10504 = (23*2^34902+1)/15159	2012: Lelio R Paula
P24880 = (7*2^82659+1)/15333	2011: Lelio R Paula
P110762 = (23*2^367952+1)/15717	2014: Lelio R Paula
P133192 = (9*2^442463+1)/17441	2015: Lelio R Paula
P51796=(21181*2^172061+1)/18147	2014: Lelio R Paula
P28871= (78557*2^95905+1)/18725	2014: Lelio R Paula
P65646 = (15*2^218081+1)/18941	2012: Lelio R Paula
P65778 = (23*2^218517+1)/19003	2012: Lelio R Paula
P16556 = (5*2^55007+1)/19411	2012: Lelio R Paula
P29215= (78557*2^97048+1)/19467	2014: Lelio R Paula
P12771 = (7*2^42434+1)/19849	2012: Lelio R Paula
P96242=(55459*2^319706+1)/20167	2014: Lelio R Paula
P30335=(78557*2^100766+1)/21351	2014: Lelio R Paula
P76291=(21181*2^253432+1)/21437	2014: Lelio R Paula
P13249 = (7*2^44021+1)/24705	2011: Lelio R Paula
P88792 = (3*2^294971+1)/25565	2013: Lelio R Paula
P12117 = (5*2^40263+1)/26281	2012: Lelio R Paula
P14717 = (17*2^48899+1)/26603	2012: Lelio R Paula
P22750 = (3*2^75585+1)/26863	2012: Lelio R Paula
P16665 = (15*2^55369+1)/27221	2012: Lelio R Paula
P67659 = (17*2^224766+1)/29007	2012: Lelio R Paula
P21770 = (27*2^72326+1)/30193	2012: Lelio R Paula
P36073 = (29*2^119841+1)/30451	2012: Lelio R Paula
P91320=(21181*2^303357+1)/32361	2014: Lelio R Paula
P72863=(67607*2^242043+1)/33263	2014: Lelio R Paula
P104030 = (19*2^345590+1)/33859	2013: Lelio R Paula
P53877=(10223*2^178975+1)/33985	2014: Lelio R Paula
P40417=(67607*2^134259+1)/34891	2014: Lelio R Paula
P23779 = (5*2^79003+1)/35219	2012: Lelio R Paula
P17453 = (11*2^57988+1)/36381	2011: Lelio R Paula
P24184= (78557*2^80335+1)/40327	2014: Lelio R Paula
P108677 = (11*2^361027+1)/40463	2014: Lelio R Paula
P71850 = (7*2^238691+1)/41229	2012: Lelio R Paula
P61363 = (19*2^203854+1)/42319	2012: Lelio R Paula
P57091=(67607*2^189651+1)/43727	2014: Lelio R Paula
P29052 = (15*2^96517+1)/44173	2012: Lelio R Paula
P80199=(10223*2^266417+1)/45091	2014: Lelio R Paula
P54212 = (11*2^180099+1)/51617	2012: Lelio R Paula
P40395 = (5*2^134202+1)/52323	2012: Lelio R Paula
P22529= (10223*2^74839+1)/54425	2014: Lelio R Paula
P20054 = (3*2^66629+1)/54611	2012: Lelio R Paula
P36136 = (33*2^120049+1)/56359	2015: Michael Porter
P110595 = (23*2^367398+1)/57963	2014: Lelio R Paula
P30374 = (33*2^100908+1)/59063	2015: Michael Porter
P84553=(10223*2^280881+1)/68419	2014: Lelio R Paula
P33463 = (15*2^111173+1)/68783	2012: Lelio R Paula
P18509 = (27*2^61496+1)/68923	2012: Lelio R Paula
P41745 = (9*2^138684+1)/70445	2012: Lelio R Paula
P109183 = (67607*2^362695+1)/70499	2014: Lelio R Paula
P110396 = (23*2^366739+1)/74575		2014: Lelio R Paula
P103905 = (78557*2^345163+1)/78589	2014: Lelio R Paula
P29684 = (78557*2^98605+1)/82075	2014: Lelio R Paula
P21143 = (24737*2^70235+1)/89063	2014: Lelio R Paula
P28592 = (78557*2^94979+1)/102037	2014: Lelio R Paula
P30964 = (22699*2^102861+1)/104751	2014: Lelio R Paula
P11512 = (11*2^38255+1)/116701		2012: Lelio R Paula
P21325 = (47*2^70850+1)/123417		2015: Lelio R Paula
P14999 = (1013*2^49831+1)/127475	2009: Lelio R Paula
P58362 = (31*2^193886+1)/140765		2012: Lelio R Paula
P51014 = (78557*2^169464+1)/160527	2014: Lelio R Paula
P22726 = (10223*2^75496+1)/162687	2014: Lelio R Paula
P41167 = (15*2^136764+1)/164959		2012: Lelio R Paula
P19315 = (15*2^64176+1)/166253		2012: Lelio R Paula
P81983 = (3*2^272356+1)/177163		2012: Lelio R Paula
P27583 = (21181*2^91629+1)/226527	2014: Lelio R Paula
P10601 = (9*2^35229+1)/232067		2012: Lelio R Paula
P61698 = (33*2^204966+1)/234341		2015: Michael Porter
P27361 = (67607*2^90890+1)/240783	2014: Lelio R Paula
P38595 = (78557*2^128209+1)/255955	2014: Lelio R Paula
P58774 = (47*2^195254+1)/268821		2015: Lelio R Paula
P62597 = (22699*2^207945+1)/281709	2014: Lelio R Paula
P33688 = (15*2^111922+1)/288857		2012: Lelio R Paula
P24188 = (3*2^80367+1)/334235		2012: Lelio R Paula
P22189 = (21181*2^73711+1)/338823	2014: Lelio R Paula
P149810 = (5*2^497671+1)/373703		2015: Lelio R Paula
P13544 = (25*2^45005+1)/438489		2011: Lelio R Paula
P20341 = (21181*2^67573+1)/473391	2014: Lelio R Paula
P32456 = (47*2^107828+1)/553833		2015: Lelio R Paula
P17403 = (5*2^57826+1)/584487		2011: Lelio R Paula
P73991 = (21*2^245806+1)/634555		2012: Lelio R Paula
P19012 = (7*2^63173+1)/661095		2011: Lelio R Paula
P46790 = (3*2^155450+1)/726661		2012: Lelio R Paula
P15234 = (21*2^50620+1)/782903		2012: Lelio R Paula
P36291 = (24737*2^120558+1)/850983	2014: Lelio R Paula
P39408 = (29*2^130924+1)/1157385	2012: Lelio R Paula
P20001 = (3231*2^66449+1)/1245077	2009: Lelio R Paula
P101199 = (78557*2^336178+1)/1268757	2014: Lelio R Paula
P100858 = (21181*2^335049+1)/1343811	2014: Lelio R Paula
P92231 = (47*2^306398+1)/1384803	2015: Lelio R Paula
P40092 = (21181*2^133188+1)/1539433	2014: Lelio R Paula
P11065 = (3*2^36774+1)/1645711		2012: Lelio R Paula
P45558 = (3*2^151357+1)/1696849		2012: Lelio R Paula
P13910 = (89*2^46219+1)/1763303		2004: Donovan Johnson
P32923 = (5*2^109385+1)/1767647		2012: Lelio R Paula
P48141 = (33*2^159934+1)/1936969	2015: Michael Porter
P26148 = (21181*2^86867+1)/2095683	2014: Lelio R Paula
P32717 = (78557*2^108687+1)/2844299	2014: Lelio R Paula
P17744 = (29*2^58959+1)/3027677		2012: Lelio R Paula
P54115 = (21181*2^179770+1)/3029105	2014: Lelio R Paula
P10392 = (15*2^34536+1)/3069961		2012: Lelio R Paula
P38430 = (21181*2^127669+1)/3397959	2014: Lelio R Paula
P10640 = (15*2^35362+1)/4120013		2012: Lelio R Paula
P71512 = (22699*2^237565+1)/4136637	2014: Lelio R Paula
P20597 = (78557*2^68427+1)/4319713	2014: Lelio R Paula
P100548 = (78557*2^334018+1)/4326021	2014: Lelio R Paula
P12817 = (3*2^42597+1)/4581797		2012: Lelio R Paula
P63573 = (67607*2^211188+1)/5234319	2014: Lelio R Paula
P12786 = (85*2^42488+1)/5703281		2004: Donovan Johnson
P49381 = (24737*2^164045+1)/5906585	2014: Lelio R Paula
P77564 = (78557*2^257665+1)/6108725	2014: Lelio R Paula
P22909 = (21181*2^76109+1)/6121509	2014: Lelio R Paula
P11730 = (3*2^38986+1)/6210673		2012: Lelio R Paula
P12378 = (21*2^41135+1)/6400181		2012: Lelio R Paula
P13689 = (81*2^45488+1)/7082017		2004: Donovan Johnson
P14082 = (51*2^46795+1)/8436431		2004: Donovan Johnson
P12742 = (57*2^42342+1)/9202373		2004: Donovan Johnson
P15088 = (15*2^50140+1)/9216563		2012: Lelio R Paula
P12164 = (35*2^40423+1)/9382273		2004: Donovan Johnson
P29172 = (25*2^96924+1)/9770293		2012: Lelio R Paula
P17033 = (21*2^56599+1)/10318603	2012: Lelio R Paula
P26118 = (55459*2^86767+1)/11378391	2014: Lelio R Paula
P12263 = (23*2^40753+1)/11542513	2004: Donovan Johnson
P125220 = (9*2^415992+1)/13560845	2014: Lelio R Paula
P49421 = (3*2^164194+1)/14255017	2012: Lelio R Paula
P46941 = (21181*2^155944+1)/14641471	2014: Lelio R Paula
P12092 = (27*2^40186+1)/16439767	2004: Donovan Johnson
P39311 = (25*2^130608+1)/27533129	2012: Lelio R Paula
P26336 = (67607*2^87492+1)/29210877	2014: Lelio R Paula
P10326 = (17*2^34321+1)/31924795	2012: Lelio R Paula
P40081 = (3*2^133168+1)/36563191	2012: Lelio R Paula
P14940 = (81*2^49648+1)/49051577	2004: Donovan Johnson
P82149 = (67607*2^272901+1)/50790115	2014: Lelio R Paula
P76538 = (21181*2^254264+1)/55314379	2014: Lelio R Paula
P28918 = (10223*2^96076+1)/64586739	2014: Lelio R Paula
P48994 = (21181*2^162764+1)/65583709	2014: Lelio R Paula
P12827 = (63*2^42628+1)/66882307	2004: Donovan Johnson
P25431 = (9*2^84501+1)/78364339		2012: Lelio R Paula
P30956 = (21181*2^102845+1)/82009047	2014: Lelio R Paula
P102709 = (27*2^341212+1)/84674449	2013: Lelio R Paula
P52528 = (67607*2^174503+1)/90948079	2014: Lelio R Paula
P138757 = (17*2^460963+1)/124051613	2015: Lelio R Paula
P15825 = (3*2^52594+1)/150300409	2012: Lelio R Paula
P12759 = (81*2^42404+1)/155792737	2004: Donovan Johnson
P23922 = (10223*2^79479+1)/166195375	2014: Lelio R Paula
P14066 = (95*2^46745+1)/198539333	2004: Donovan Johnson
P122552 = (21*2^407131+1)/207517523	2014: Lelio R Paula
P12288 = (81*2^40841+1)/300275851	2004: Donovan Johnson
P44053 = (67607*2^146353+1)/332496545	2014: Lelio R Paula
P12530 = (9*2^41647+1)/397683899	2004: Donovan Johnson
P31416 = (3*2^104386+1)/499024351	2012: Lelio R Paula
P14839 = (75*2^49317+1)/592520569	2004: Donovan Johnson
P14396 = (93*2^47844+1)/598712479	2004: Donovan Johnson
P14535 = (7*2^48310+1)/634688401	2004: Donovan Johnson
P36532 = (67607*2^121368+1)/949855779	2014: Lelio R Paula
P42052 = (3*2^139721+1)/1351577099	2012: Lelio R Paula
P24526 = (3*2^81502+1)/1373346709	2012: Lelio R Paula
P13297 = (71*2^44193+1)/1646633837	2004: Donovan Johnson
P14079 = (81*2^46792+1)/2386502297	2004: Donovan Johnson
P27396 = (91020*2^91020+1)/2616441317	2006: Donovan Johnson
P15098 = (783*2^50176+1)/2715843797	2005: Donovan Johnson
P140635 = (29*2^467205+1)/2780517107	2015: Lelio R Paula
P15010 = (21*2^49889+1)/2828491901	2004: Donovan Johnson
P15098 = (4311*2^50173+1)/2879958673	2005: Donovan Johnson
P14244 = (3*2^47345+1)/3244814621	2004: Donovan Johnson
P16933 = (15*2^56276+1)/3263806759	2012: Lelio R Paula
P15191 = (2451*2^50483+1)/3292014959	2005: Donovan Johnson
P15104 = (1869*2^50193+1)/4271025767	2005: Donovan Johnson
P15225 = (2361*2^50596+1)/4278940993	2005: Donovan Johnson
P131879 = (3*2^438121+1)/4308193883	2015: Lelio R Paula
P12037 = (41804*2^40001+1)/4551251183	2004: Donovan Johnson
P15255 = (687*2^50696+1)/4876627163	2005: Donovan Johnson
P11304 = (503310*2^37562+1)/5428438139	2004: Donovan Johnson
P15331 = (3297*2^50948+1)/6579187501	2005: Donovan Johnson
P15277 = (921*2^50769+1)/6865015253	2005: Donovan Johnson
P11304 = (732273*2^37562+1)/7039045129	2004: Donovan Johnson
P15337 = (2025*2^50969+1)/8407296817	2005: Donovan Johnson
P15212 = (3591*2^50553+1)/8506169237	2005: Donovan Johnson
P15132 = (329*2^50289+1)/8696350651	2005: Donovan Johnson
P62844 = (21181*2^208780+1)/8993838841	2014: Lelio R Paula
P12038 = (324018*2^40001+1)/9127204319	2004: Donovan Johnson
P15306 = (669*2^50867+1)/9818020127	2005: Donovan Johnson
P11304 = (956844*2^37562+1)/10263239663	2004: Donovan Johnson
P12037 = (176421*2^40001+1)/10559218283	2004: Donovan Johnson
P12038 = (755756*2^40001+1)/11439662051	2004: Donovan Johnson
P15244 = (983*2^50661+1)/11545812793	2005: Donovan Johnson
P11304 = (959812*2^37562+1)/11635005859	2004: Donovan Johnson
P15150 = (3297*2^50347+1)/12433833589	2005: Donovan Johnson
P15339 = (4953*2^50974+1)/12460561409	2005: Donovan Johnson
P15325 = (2685*2^50931+1)/15861781063	2005: Donovan Johnson
P11303 = (669439*2^37562+1)/16487923201	2004: Donovan Johnson
P15310 = (4795*2^50878+1)/16859482033	2005: Donovan Johnson
P15283 = (2141*2^50789+1)/18299256851	2005: Donovan Johnson
P11302 = (26051*2^37563+1)/18445937663	2004: Donovan Johnson
P12038 = (991313*2^40001+1)/19007119231	2004: Donovan Johnson
P15072 = (2469*2^50089+1)/24267882229	2005: Donovan Johnson
P11303 = (486353*2^37561+1)/25259925707	2004: Donovan Johnson
P11303 = (528949*2^37562+1)/25545576073	2004: Donovan Johnson
P15104 = (387*2^50199+1)/26308248383	2005: Donovan Johnson
P18102 = (759*2^60158+1)/28151664577	2004: Donovan Johnson
P11303 = (732255*2^37561+1)/31335203489	2004: Donovan Johnson
P12037 = (204404*2^40001+1)/34635013571	2004: Donovan Johnson
P11303 = (650443*2^37562+1)/37623263399	2004: Donovan Johnson
P12037 = (554591*2^40001+1)/38751239687	2004: Donovan Johnson
P15134 = (573*2^50297+1)/41105458993	2005: Donovan Johnson
P15107 = (4419*2^50206+1)/41995498481	2005: Donovan Johnson
P15172 = (379*2^50426+1)/46107355079	2005: Donovan Johnson
P15261 = (495*2^50722+1)/48161635573	2005: Donovan Johnson
P11303 = (715983*2^37562+1)/48337891429	2004: Donovan Johnson
P15151 = (807*2^50355+1)/51543834361	2005: Donovan Johnson
P135301 = (3*2^449494+1)/61340334013	2015: Lelio R Paula
P15059 = (7*2^50056+1)/64660902349	2005: Donovan Johnson
P11303 = (663592*2^37562+1)/64881931889	2004: Donovan Johnson
P11302 = (869063*2^37561+1)/96256326041	2004: Donovan Johnson
P18172 = (95*2^60395+1)/102312876557	2004: Donovan Johnson
P15045 = (2067*2^50003+1)/104352737543	2005: Donovan Johnson
P11303= (743308*2^37562+1)/105521635237	2004: Donovan Johnson
P11302 = (70179*2^37562+1)/106322115869	2004: Donovan Johnson
P15131 = (501*2^50291+1)/117028708063	2005: Donovan Johnson
P15128 = (935*2^50279+1)/118199221633	2005: Donovan Johnson
P11302= (114097*2^37562+1)/120712746941	2004: Donovan Johnson
P11302= (603978*2^37562+1)/127061594557	2004: Donovan Johnson
P15084 = (2349*2^50133+1)/133937787019	2005: Donovan Johnson
P15300 = (4947*2^50848+1)/159480403109	2005: Donovan Johnson
P15063 = (2361*2^50061+1)/160032438199	2005: Donovan Johnson
P12037= (654234*2^40001+1)/162095837051	2004: Donovan Johnson
P15132 = (2349*2^50291+1)/173265740261	2005: Donovan Johnson
P11302= (757297*2^37562+1)/182545642423	2004: Donovan Johnson
P11302= (317345*2^37561+1)/187715874299	2004: Donovan Johnson
P15073 = (1649*2^50097+1)/194600445733	2005: Donovan Johnson
P11302= (161329*2^37562+1)/196874475587	2004: Donovan Johnson
P15139 = (1661*2^50315+1)/241753119679	2005: Donovan Johnson
P12036= (296358*2^40001+1)/243118589297	2004: Donovan Johnson
P15104 = (2987*2^50199+1)/248463372923	2005: Donovan Johnson
P10020 = (2345*2^33311+1)/251729022757	2005: Donovan Johnson
P11302= (177129*2^37562+1)/254186122019	2004: Donovan Johnson
P12036= (822261*2^40001+1)/277194869429	2004: Donovan Johnson
P12928= (924051*2^42961+1)/294861969781	2005: Donovan Johnson
P12927= (365021*2^42961+1)/303002415673	2005: Donovan Johnson
P15099 = (837*2^50183+1)/311986925539	2005: Donovan Johnson
P15207 = (2773*2^50542+1)/320049669893	2005: Donovan Johnson
P12928=(4811261*2^42961+1)/321321937411	2005: Donovan Johnson
P15179 = (855*2^50451+1)/321821299837	2005: Donovan Johnson
P12928=(4314725*2^42961+1)/327654102277	2005: Donovan Johnson
P15061 = (1575*2^50056+1)/335423254097	2005: Donovan Johnson
P11302= (168119*2^37563+1)/336778338571	2004: Donovan Johnson
P15322 = (39*2^50929+1)/371067079153	2005: Donovan Johnson
P12928=(2015339*2^42961+1)/375684386717	2005: Donovan Johnson
P15091 = (3169*2^50158+1)/392883858091	2005: Donovan Johnson
P11302= (447133*2^37562+1)/394016982187	2004: Donovan Johnson
P12928=(5117639*2^42961+1)/438535080107	2005: Donovan Johnson
P12928=(6941459*2^42961+1)/466511574757	2005: Donovan Johnson
P15303 = (3249*2^50861+1)/466647337969	2005: Donovan Johnson
P12928=(9114543*2^42961+1)/471872116039	2005: Donovan Johnson
P15058 = (1005*2^50048+1)/472088141969	2005: Donovan Johnson
P12928=(6835935*2^42961+1)/477889501403	2005: Donovan Johnson
P15081 = (645*2^50125+1)/485210644337	2005: Donovan Johnson
P12928=(2525021*2^42961+1)/487189236113	2005: Donovan Johnson
P12928=(7874523*2^42961+1)/496788193211	2005: Donovan Johnson
P12036= (990585*2^40001+1)/515631665099	2004: Donovan Johnson
P12036= (283556*2^40001+1)/535673349209	2004: Donovan Johnson
P11301= (542939*2^37561+1)/554340496889	2004: Donovan Johnson
P12928=(7613775*2^42961+1)/627536996843	2005: Donovan Johnson
P12928=(6299021*2^42961+1)/673492789247	2005: Donovan Johnson
P12927=(1411905*2^42961+1)/710898991441	2005: Donovan Johnson
P12928=(9394163*2^42961+1)/748482320083	2005: Donovan Johnson
P12928=(7502741*2^42961+1)/768509746171	2005: Donovan Johnson
P11302= (713899*2^37562+1)/826663496621	2004: Donovan Johnson
P42641 = (3*2^141687+1)/861200272735	2012: Lelio R Paula
P12928 = (3186269*2^42961+1)/874527073009	2005: Donovan Johnson
P11302 = (721759*2^37562+1)/1012099594997	2004: Donovan Johnson
P11301 = (663719*2^37561+1)/1040571665921	2004: Donovan Johnson
P12927 = (4045515*2^42958+1)/1054188744041	2005: Donovan Johnson
P12927 = (2173149*2^42961+1)/1056439777453	2005: Donovan Johnson
P12926 = (8737033*2^42954+1)/1058891299439	2005: Donovan Johnson
P12925 = (8607261*2^42951+1)/1061395897147	2005: Donovan Johnson
P12928 = (8078751*2^42961+1)/1074859226747	2005: Donovan Johnson
P12927 = (6739107*2^42958+1)/1099679349737	2005: Donovan Johnson
P12927 = (3127457*2^42959+1)/1103640217909	2005: Donovan Johnson
P12927 = (8236327*2^42958+1)/1104001291637	2005: Donovan Johnson
P12926 = (7783555*2^42954+1)/1106288448047	2005: Donovan Johnson
P12926 = (8445809*2^42955+1)/1143117834191	2005: Donovan Johnson
P12927 = (3644317*2^42958+1)/1199687273381	2005: Donovan Johnson
P12924 = (3183029*2^42951+1)/1254826591841	2005: Donovan Johnson
P12924 = (3132237*2^42951+1)/1275479378959	2005: Donovan Johnson
P12926 = (8518529*2^42955+1)/1285581336547	2005: Donovan Johnson
P12926 = (6676471*2^42956+1)/1297287315091	2005: Donovan Johnson
P12925 = (7781113*2^42952+1)/1299614932919	2005: Donovan Johnson
P12927 = (5923197*2^42959+1)/1301390558177	2005: Donovan Johnson
P12926 = (3071997*2^42955+1)/1307170326317	2005: Donovan Johnson
P12927 = (9895677*2^42958+1)/1314974365543	2005: Donovan Johnson
P12928 = (4731221*2^42961+1)/1315313574611	2005: Donovan Johnson
P12926 = (8897185*2^42956+1)/1326822564523	2005: Donovan Johnson
P12926 = (499401*2^42960+1)/1335704620937	2005: Donovan Johnson
P12925 = (559927*2^42956+1)/1349756596537	2005: Donovan Johnson
P12926 = (1161687*2^42959+1)/1356656315489	2005: Donovan Johnson
P12927 = (3895987*2^42960+1)/1368265744889	2005: Donovan Johnson
P12924 = (2619821*2^42951+1)/1379171987161	2005: Donovan Johnson
P12925 = (1460055*2^42955+1)/1408016098421	2005: Donovan Johnson
P12925 = (3728385*2^42954+1)/1422321252059	2005: Donovan Johnson
P12924 = (1109403*2^42952+1)/1422986245253	2005: Donovan Johnson
P12927 = (5074795*2^42960+1)/1439764978523	2005: Donovan Johnson
P12927 = (3060563*2^42961+1)/1446657064939	2005: Donovan Johnson
P12926 = (3194969*2^42957+1)/1448013491557	2005: Donovan Johnson
P12925 = (7478295*2^42953+1)/1452545488987	2005: Donovan Johnson
P12926 = (374051*2^42959+1)/1475997283661	2005: Donovan Johnson
P12927 = (1751979*2^42961+1)/1539927391363	2005: Donovan Johnson
P11301 = (482636*2^37561+1)/1802613940549	2004: Donovan Johnson
P12927 = (1917969*2^42961+1)/1927188591673	2005: Donovan Johnson
P12928 = (6138855*2^42961+1)/2069026258703	2005: Donovan Johnson
P12928 = (7003829*2^42961+1)/2448463811309	2005: Donovan Johnson
P12927 = (4270923*2^42961+1)/2482263124897	2005: Donovan Johnson
P12928 = (7671509*2^42961+1)/2521541627569	2005: Donovan Johnson
P12928 = (9029435*2^42961+1)/2529432536809	2005: Donovan Johnson
P12926 = (2276099*2^42959+1)/2872484402741	2005: Donovan Johnson
P12927 = (6459383*2^42961+1)/2877226628849	2005: Donovan Johnson
P12927 = (8160987*2^42958+1)/2971127369681	2005: Donovan Johnson
P12926 = (9722771*2^42955+1)/3045185475769	2005: Donovan Johnson
P12927 = (9674673*2^42960+1)/3052329124457	2005: Donovan Johnson
P12928 = (9312045*2^42961+1)/3057568390271	2005: Donovan Johnson
P12925 = (3780675*2^42954+1)/3057598865801	2005: Donovan Johnson
P12924 = (2501067*2^42951+1)/3081972161773	2005: Donovan Johnson
P12927 = (4685949*2^42959+1)/3104180603507	2005: Donovan Johnson
P12924 = (1898481*2^42951+1)/3122469578731	2005: Donovan Johnson
P12924 = (751745*2^42953+1)/3134861880581	2005: Donovan Johnson
P12925 = (5907553*2^42954+1)/3151977548723	2005: Donovan Johnson
P12924 = (8003135*2^42951+1)/3184866014921	2005: Donovan Johnson
P12924 = (1150795*2^42954+1)/3219307717517	2005: Donovan Johnson
P12928 = (9430905*2^42961+1)/3228583872403	2005: Donovan Johnson
P12926 = (1696195*2^42958+1)/3293271085141	2005: Donovan Johnson
P12926 = (2620659*2^42959+1)/3299223585751	2005: Donovan Johnson
P12926 = (4166031*2^42956+1)/3307971044771	2005: Donovan Johnson
P12925 = (5539067*2^42955+1)/3328403665667	2005: Donovan Johnson
P12925 = (9284805*2^42952+1)/3351317540203	2005: Donovan Johnson
P12927 = (5336981*2^42959+1)/3357846679417	2005: Donovan Johnson
P12926 = (3184119*2^42958+1)/3396401358391	2005: Donovan Johnson
P12926 = (6700507*2^42958+1)/3402874252429	2005: Donovan Johnson
P12925 = (8851113*2^42954+1)/3432214120477	2005: Donovan Johnson
P12925 = (6316723*2^42954+1)/3457762222223	2005: Donovan Johnson
P12925 = (4353955*2^42954+1)/3461206756517	2005: Donovan Johnson
P12926 = (577541*2^42959+1)/3471099753371	2005: Donovan Johnson
P12925 = (244095*2^42958+1)/3492510948659	2005: Donovan Johnson
P12926 = (8488559*2^42955+1)/3497967595351	2005: Donovan Johnson
P12925 = (4745181*2^42953+1)/3498116875427	2005: Donovan Johnson
P12924 = (4233059*2^42951+1)/3509823473231	2005: Donovan Johnson
P12925 = (4765535*2^42955+1)/3524884564121	2005: Donovan Johnson
P12926 = (4334641*2^42956+1)/3556333555097	2005: Donovan Johnson
P12925 = (2044299*2^42954+1)/3570330786431	2005: Donovan Johnson
P12926 = (9768855*2^42955+1)/3581197808597	2005: Donovan Johnson
P12926 = (5246425*2^42956+1)/3627517265003	2005: Donovan Johnson
P12925 = (6256713*2^42954+1)/3696860939393	2005: Donovan Johnson
P12924 = (724035*2^42952+1)/3701703322487	2005: Donovan Johnson
P12925 = (6354275*2^42955+1)/3755750466583	2005: Donovan Johnson
P12927 = (4539903*2^42960+1)/3782984694197	2005: Donovan Johnson
P12927 = (7474079*2^42961+1)/3789222718753	2005: Donovan Johnson
P12925 = (9965115*2^42953+1)/3790098881567	2005: Donovan Johnson
P12926 = (4243161*2^42956+1)/3804711886453	2005: Donovan Johnson
P12926 = (5052619*2^42958+1)/3909433236671	2005: Donovan Johnson
P12927 = (7273335*2^42961+1)/3915444373739	2005: Donovan Johnson
P12925 = (2888937*2^42956+1)/3931117311743	2005: Donovan Johnson
P12926 = (6278321*2^42957+1)/3935648640727	2005: Donovan Johnson
P12927 = (7003187*2^42959+1)/3959265076099	2005: Donovan Johnson
P12926 = (7764393*2^42956+1)/3961756349279	2005: Donovan Johnson
P12925 = (7791987*2^42954+1)/4022943566737	2005: Donovan Johnson
P12927 = (8097623*2^42961+1)/4033387950271	2005: Donovan Johnson
P12926 = (5196921*2^42957+1)/4083714134737	2005: Donovan Johnson
P12924 = (1473965*2^42951+1)/4102216471187	2005: Donovan Johnson
P12927 = (3415985*2^42961+1)/4128485973023	2005: Donovan Johnson
P12925 = (8299443*2^42952+1)/4234219610477	2005: Donovan Johnson
P12926 = (6750115*2^42956+1)/4248155526007	2005: Donovan Johnson
P12926 = (3201009*2^42957+1)/4303396016981	2005: Donovan Johnson
P12927 = (8465635*2^42960+1)/4314470243521	2005: Donovan Johnson
P12924 = (3497531*2^42951+1)/4339721208787	2005: Donovan Johnson
P12923 = (509765*2^42951+1)/4348881071027	2005: Donovan Johnson
P12927 = (4398909*2^42961+1)/5051764086701	2005: Donovan Johnson
P12927 = (2185349*2^42961+1)/5283312697777	2005: Donovan Johnson
P12927 = (5638151*2^42961+1)/5334712460303	2005: Donovan Johnson
P11300 = (292079*2^37561+1)/5381257416191	2004: Donovan Johnson
P12927 = (2342283*2^42961+1)/6115305775127	2005: Donovan Johnson
P12927 = (9765243*2^42961+1)/7080485225903	2005: Donovan Johnson
P12927 = (9328869*2^42961+1)/7252846874711	2005: Donovan Johnson
P12926 = (1178403*2^42961+1)/7482281174311	2005: Donovan Johnson
P12927 = (5593179*2^42961+1)/7982774941553	2005: Donovan Johnson
P12926 = (1042169*2^42961+1)/8085508148747	2005: Donovan Johnson
P12926 = (491591*2^42961+1)/8918436676957	2005: Donovan Johnson
P12927 = (6135773*2^42961+1)/9540990427919	2005: Donovan Johnson
P12927 = (6435359*2^42961+1)/9669520595347	2005: Donovan Johnson
P12927 = (9136059*2^42961+1)/10451721622787	2005: Donovan Johnson
P12927 = (6987965*2^42961+1)/10803109303237	2005: Donovan Johnson
P12927 = (6989795*2^42961+1)/12001485795841	2005: Donovan Johnson
P12927 = (6250409*2^42961+1)/12317097342047	2005: Donovan Johnson
P12927 = (4717139*2^42961+1)/12670926241139	2005: Donovan Johnson
P12927 = (5195301*2^42961+1)/16047608476687	2005: Donovan Johnson
P12926 = (1574003*2^42961+1)/17311698796421	2005: Donovan Johnson
P12926 = (3965469*2^42961+1)/17942822273483	2005: Donovan Johnson
P12926 = (1669395*2^42961+1)/19475606329489	2005: Donovan Johnson
P12924 = (16863*2^42961+1)/21680468474657	2005: Donovan Johnson
P12927 = (6921941*2^42961+1)/23293676600837	2005: Donovan Johnson
P12926 = (1589069*2^42961+1)/29055731306171	2005: Donovan Johnson
P12926 = (2092131*2^42961+1)/30362121952711	2005: Donovan Johnson
P12926 = (2263613*2^42961+1)/31308639763523	2005: Donovan Johnson
P12926 = (8219171*2^42961+1)/32189055865121	2005: Donovan Johnson
P12926 = (6302043*2^42961+1)/34019683765609	2005: Donovan Johnson
P12926 = (4555013*2^42961+1)/41898682013723	2005: Donovan Johnson
P12925 = (1161831*2^42961+1)/50941857499517	2005: Donovan Johnson
P12926 = (3486225*2^42961+1)/52556922600029	2005: Donovan Johnson
P12925 = (1287759*2^42961+1)/59026202695829	2005: Donovan Johnson
P12926 = (6423263*2^42961+1)/67152111341459	2005: Donovan Johnson
P16360 = (3*2^54394+1)/2669067384375217		2012: Lelio R Paula
P80811 = (3*2^268502+1)/377902188435353647	2012: Lelio R Paula


В диапазоне [3...199] отсутствуют знаменатели:
 65,  69,  83,  85,  87,  91,  97, 105,
109, 115, 117, 127, 129, 133, 139, 141,
147, 153, 157, 163, 165, 167, 171, 173,
179, 183, 185, 191, 193, 195, 197, 199.

⟰ вверх ⟰