Factores primos de Gúgolplex + 10 con 20 dígitos

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  3. Factores primos de Gúgolplex + 10 con 20 digitos

Esta es una lista de factores primos de 20 dígitos de gúgolplex + 10, es decir, 1010^100 + 10.

Estos números tienen la forma 1 + 2k ∏i piei, donde pi es un factor primo de 10100 − 1 y ei es cero o uno.

La lista de factores primos de 10100 − 1 es: 3, 3, 11, 41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801, 18 2521213001, 1410 3673319201, 7887 5943472201 y 168058 8011350901.

En esta lista se pueden ver los factores primos, sus descubridores y los valores de k.

  1. 1016893883 1019335571 (Patrick Demichel, k=215915)
  2. 1027909103 1023975053 (David Broadhurst, k=2)
  3. 1029303441 4591586179 (Patrick Demichel, k=1480671)
  4. 1031544921 3671830339 (David Broadhurst, k=31)
  5. 1049345044 0980479677 (David Broadhurst, k=2)
  6. 1061112244 8334248343 (Patrick Demichel, k=1540109)
  7. 1062017919 7119800263 (David Broadhurst, k=9)
  8. 1076069219 9887950409 (Patrick Demichel, k=2025476)
  9. 1079135916 8819853983 (David Broadhurst, k=1)
  10. 1089077278 5939393007 (David Broadhurst, k=1)
  11. 1089293757 0567495539 (Patrick Demichel, k=8089)
  12. 1091625997 4261909357 (Phil Carmody, k=178)
  13. 1108714104 6935566339 (David Broadhurst, k=1)
  14. 1115418492 9782490487 (David Broadhurst, k=1)
  15. 1129317460 6641884533 (Phil Carmody, k=4274)
  16. 1133992286 4793975343 (David Broadhurst, k=1)
  17. 1163057527 8822378691 (Patrick Demichel, k=131005)
  18. 1198777746 4164041797 (Phil Carmody, k=162)
  19. 1219923995 2391390077 (David Broadhurst, k=2)
  20. 1229096607 2044855933 (David Broadhurst, k=2)
  21. 1235007156 4400558291 (Patrick Demichel, k=528095)
  22. 1236816344 7991018207 (David Broadhurst, k=7)
  23. 1252091980 2753277807 (David Broadhurst, k=1)
  24. 1259395041 1192734167 (David Broadhurst, k=53)
  25. 1277775261 1671955841 (Phil Carmody, k=320)
  26. 1281791268 9965031893 (Phil Carmody, k=206)
  27. 1289229952 1529598237 (David Broadhurst, k=2)
  28. 1294337051 9833731209 (Patrick Demichel, k=6244)
  29. 1295456186 6106552721 (Patrick Demichel, k=1507240)
  30. 1302701923 5666995047 (David Broadhurst, k=1)
  31. 1304119506 0242924299 (Phil Carmody, k=1121)
  32. 1306326068 3520389893 (David Broadhurst, k=2)
  33. +13192823012106528121 (David Broadhurst usando ECM) (k=796379512984820)
  34. 1320568133 8406137183 (David Broadhurst, k=49)
  35. 1321725519 8004962887 (David Broadhurst, k=1)
  36. 1328354359 5952418449 (David Broadhurst, k=8)
  37. 1328937344 0737483321 (Phil Carmody, k=140)
  38. 1340343784 0058220091 (David Broadhurst, k=5)
  39. 1386803784 7839170623 (Phil Carmody, k=697)
  40. 1389893483 9975780971 (Patrick Demichel, k=307565)
  41. 1394575499 9792127277 (David Broadhurst, k=2)
  42. 1407424942 9004266213 (David Broadhurst, k=2)
  43. 1408313024 0647968259 (Phil Carmody, k=691)
  44. 1411934707 6470753133 (David Broadhurst, k=2)
  45. 1446374143 3615424317 (David Broadhurst, k=2)
  46. 1448565725 0285751619 (David Broadhurst, k=1)
  47. 1454811033 5841398293 (Phil Carmody, k=114)
  48. 1492442709 3173776681 (Phil Carmody, k=1460)
  49. 1500615006 1500615007 (David Broadhurst, k=61)
  50. 1504731382 0603717453 (David Broadhurst, k=2)
  51. 1506491838 6978356647 (David Broadhurst, k=1)
  52. 1509754402 7670512761 (Patrick Demichel, k=1272860)
  53. 1517479386 5375367499 (David Broadhurst, k=1)
  54. 1530773190 2696869087 (Norm Dresner, k=13411)
  55. 1538679586 2905764859 (Phil Carmody, k=1289)
  56. 1555648785 1027622503 (David Broadhurst, k=29)
  57. 1591154893 1742178441 (Phil Carmody, k=340)
  58. 1594225626 6655639477 (David Broadhurst, k=2)
  59. 1607082381 5128249241 (David Broadhurst, k=20)
  60. 1616363040 6944498659 (Patrick Demichel, k=1402273)
  61. 1645453009 7743249969 (David Broadhurst, k=8)
  62. 1648436474 3105231611 (Phil Carmody, k=185)
  63. 1655477577 9615930847 (David Broadhurst, k=61)
  64. 1669443923 1434948281 (Phil Carmody, k=1060)
  65. 1725832199 3955785647 (David Broadhurst, k=1)
  66. 1729947463 8327682219 (David Broadhurst, k=1)
  67. 1754644824 4085921161 (Phil Carmody, k=1820)
  68. 1763298281 0476169569 (David Broadhurst, k=16)
  69. 1764960128 1764960129 (Patrick Demichel, k=79424)
  70. 1788534420 3130283059 (David Broadhurst, k=43)
  71. 1795308654 2343176489 (David Broadhurst, k=4)
  72. 1805296591 1428472179 (David Broadhurst, k=21)
  73. 1821188893 0494588811 (Patrick Demichel, k=75335)
  74. 1865204646 5609909533 (Patrick Demichel, k=349574)
  75. 1878944457 7679739169 (Phil Carmody, k=4208)
  76. 1893694965 2297976049 (David Broadhurst, k=8)
  77. 1901931358 4906732263 (David Broadhurst, k=99)
  78. 1948156474 4729484499 (Phil Carmody, k=4231)
  79. 1954081830 5052663929 (Patrick Demichel, k=564964)
  80. 1957744500 9153366611 (David Broadhurst, k=5)
  81. 1963017381 2699929249 (Phil Carmody, k=336)
  82. 1964947442 0484313703 (Patrick Demichel, k=153331)
  83. 2014922318 6801402209 (David Broadhurst, k=16)
  84. 2100177322 1900521579 (David Broadhurst, k=71)
  85. 2105003824 5553195979 (Phil Carmody, k=449)
  86. 2109329402 9219420249 (Patrick Demichel, k=7724)
  87. 2114395477 1735543023 (Patrick Demichel, k=160007)
  88. 2126757227 6158534717 (David Broadhurst, k=26)
  89. 2151719515 3056908887 (David Broadhurst, k=7)
  90. 2162446364 8027921651 (David Broadhurst, k=25)
  91. 2171360933 6493452419 (David Broadhurst, k=1)
  92. 2182868319 7817131681 (Phil Carmody, k=18160)
  93. 2186160234 8872878769 (David Broadhurst, k=88)
  94. 2189696829 2538534973 (Phil Carmody, k=854)
  95. 2213541444 3087304441 (Patrick Demichel, k=1318180)
  96. 2239603304 8900640491 (David Broadhurst, k=5)
  97. 2268514275 4316524303 (David Broadhurst, k=19)
  98. 2286704931 4840666343 (David Broadhurst, k=1)
  99. 2312771124 1065291037 (David Broadhurst, k=2)
  100. 2323688063 0600329397 (Patrick Demichel, k=1132178)
  101. 2351180021 2608169573 (David Broadhurst, k=2)
  102. 2383142812 5000144133 (David Broadhurst, k=34)
  103. 2383907312 3744770321 (Phil Carmody, k=520)
  104. 2402655819 9214251259 (David Broadhurst, k=1)
  105. 2413568953 5376008943 (David Broadhurst, k=79)
  106. 2437251468 5771400413 (Phil Carmody, k=4106)
  107. 2468297747 1320627779 (David Broadhurst, k=1)
  108. 2469356362 3524316489 (Patrick Demichel, k=830156)
  109. 2495067548 2748702237 (Patrick Demichel, k=79358)
  110. 2511090902 4057374783 (David Broadhurst, k=1)
  111. 2514107762 5143348133 (David Broadhurst, k=2)
  112. 2531425819 5073895689 (Phil Carmody, k=316)
  113. 2586413616 6589478143 (David Broadhurst, k=7)
  114. 2603819410 9534512481 (David Broadhurst, k=80)
  115. 2632813924 6075673161 (Patrick Demichel, k=50820)
  116. 2638554102 2638554103 (David Broadhurst, k=9)
  117. 2672056593 0211461727 (David Broadhurst, k=1)
  118. 2765599076 8210583413 (Patrick Demichel, k=5814)
  119. 2777959594 9181196361 (David Broadhurst, k=20)
  120. 2807893245 3784161973 (David Broadhurst, k=2)
  121. 2808734103 4312916903 (David Broadhurst, k=91)
  122. 2830651368 2830651369 (David Broadhurst, k=68)
  123. 2853487142 8389150001 (Patrick Demichel, k=25000)
  124. 2887354549 8164462041 (John Gamble, k=17180)
  125. 2894836530 1144230397 (Phil Carmody, k=182)
  126. 2903466045 3756913693 (Patrick Demichel, k=1782474)
  127. 2924776995 2816651809 (Phil Carmody, k=208)
  128. 2935424474 8589194597 (Phil Carmody, k=2622)
  129. 2951092005 9813135637 (Patrick Demichel, k=3019786)
  130. 2952707379 2966655379 (David Broadhurst, k=1)
  131. 2954636327 0378697007 (David Broadhurst, k=41)
  132. 2970943022 1620915527 (David Broadhurst, k=31)
  133. 3005899717 1022215287 (David Broadhurst, k=1)
  134. 3011121763 8009728419 (Patrick Demichel, k=46391)
  135. 3012301230 1230123013 (David Broadhurst, k=2)
  136. 3014859963 0369806819 (Patrick Demichel, k=386459)
  137. 3028729793 6971270207 (Patrick Demichel, k=25197)
  138. 3029688023 9948456179 (Phil Carmody, k=473)
  139. 3031296565 4367077419 (Phil Carmody, k=263)
  140. 3038443319 2474324819 (David Broadhurst, k=1)
  141. 3080308030 8030803081 (Phil Carmody, k=140)
  142. 3087697740 1637594503 (David Broadhurst, k=17)
  143. 3099552058 0246599847 (David Broadhurst, k=7)
  144. 3102161892 2854752223 (Patrick Demichel, k=2091209)
  145. 3162234945 3214808173 (David Broadhurst, k=2)
  146. 3165219266 7938930939 (David Broadhurst, k=89)
  147. 3165991816 3238410807 (David Broadhurst, k=31)
  148. 3232924147 4977967053 (Patrick Demichel, k=958282)
  149. 3240014952 7905587413 (Phil Carmody, k=3062)
  150. 3244635086 3560852957 (David Broadhurst, k=2)
  151. 3263793910 8857418211 (David Broadhurst, k=35)
  152. 3281329026 7639542253 (Phil Carmody, k=174)
  153. 3352805587 9943520859 (John Gamble, k=15031)
  154. 3410558744 2531773407 (Phil Carmody, k=133)
  155. 3420175509 3055871641 (Patrick Demichel, k=26140)
  156. 3444867419 7138711247 (Phil Carmody, k=277)
  157. 3453645466 2433363957 (David Broadhurst, k=2)
  158. 3458986244 9624244383 (David Broadhurst, k=1)
  159. 3464527654 3651889047 (David Broadhurst, k=1)
  160. 3504892573 6159851493 (David Broadhurst, k=2)
  161. 3524123412 5811612823 (David Broadhurst, k=49)
  162. 3525459064 0640011477 (Phil Carmody, k=342)
  163. 3528230225 8705498811 (Phil Carmody, k=2155)
  164. 3565865580 3906009139 (Patrick Demichel, k=27941)
  165. 3576323197 5448067047 (David Broadhurst, k=57)
  166. 3634745451 8972720419 (David Broadhurst, k=1)
  167. 3668135288 3425534087 (Phil Carmody, k=4107)
  168. 3670051481 4793387699 (Patrick Demichel, k=2474031)
  169. 3770706354 4266064693 (David Broadhurst, k=2)
  170. 3774903526 7196097333 (David Broadhurst, k=2)
  171. 3839186728 5384911131 (Norm Dresner, k=10885)
  172. 3850124893 6163541637 (Phil Carmody, k=106)
  173. 3861555941 8091188451 (Phil Carmody, k=475)
  174. 3869763408 1761292903 (Phil Carmody, k=167)
  175. 3884923530 3884923531 (Norm Dresner, k=10085)
  176. 3889838898 3889838899 (Phil Carmody, k=2161)
  177. 3897486361 0993724077 (David Broadhurst, k=26)
  178. 3914727003 1590361489 (Patrick Demichel, k=9736)
  179. 3934942228 1098084933 (David Broadhurst, k=14)
  180. 3942640950 1666919579 (Phil Carmody, k=1099)
  181. 3968757764 5354896379 (Patrick Demichel, k=237233)
  182. 3993023894 4489834943 (Patrick Demichel, k=903407)
  183. 3993203489 9759958979 (David Broadhurst, k=1)
  184. 4022225788 5312594517 (David Broadhurst, k=2)
  185. 4050231517 2098805367 (Paul Leyland, k=31321)
  186. 4097782326 4097782327 (Patrick Demichel, k=247361)
  187. 4116933925 2652233767 (David Broadhurst, k=13)
  188. 4145666815 4982176053 (Patrick Demichel, k=459754)
  189. 4162107874 7525182847 (Patrick Demichel, k=1371523)
  190. 4176868756 9853678743 (Patrick Demichel, k=21959)
  191. 4185824759 3329989847 (Phil Carmody, k=601)
  192. 4220101617 6853487647 (David Broadhurst, k=7)
  193. 4241443394 1469166167 (David Broadhurst, k=1)
  194. 4243448457 5433608423 (David Broadhurst, k=1)
  195. 4334837892 0175939223 (David Broadhurst, k=1)
  196. 4354881069 1471677197 (Phil Carmody, k=1238)
  197. 4420654291 7317083887 (Patrick Demichel, k=595733)
  198. 4427315975 4115506139 (David Broadhurst, k=1)
  199. 4436844671 5563155329 (Phil Carmody, k=2496)
  200. 4437972436 6994432797 (Paul Leyland, k=31082)
  201. 4446406721 4245828579 (Patrick Demichel, k=1682759)
  202. 4564299013 1426400613 (Norm Dresner, k=10222)
  203. 4574226008 4574226009 (David Broadhurst, k=4)
  204. 4582974782 0872807049 (David Broadhurst, k=4)
  205. 4598222849 3583595333 (David Broadhurst, k=14)
  206. 4629806153 0372380411 (Phil Carmody, k=145)
  207. 4675314633 3987620077 (David Broadhurst, k=62)
  208. 4715056248 1701680647 (Patrick Demichel, k=443967)
  209. 4743352417 9822212259 (David Broadhurst, k=1)
  210. 4749227545 3432590637 (David Broadhurst, k=2)
  211. 4780600782 5827702811 (David Broadhurst, k=5)
  212. 4799705613 0351809539 (Patrick Demichel, k=28043)
  213. 4813746416 1188165521 (David Broadhurst, k=40)
  214. 4855475022 4855475023 (Norm Dresner, k=11897)
  215. 4875794788 5920496019 (Phil Carmody, k=2063)
  216. 4922739021 5732795887 (Patrick Demichel, k=22257)
  217. 4928124875 7482754539 (Patrick Demichel, k=47329)
  218. 4933128945 1430507419 (David Broadhurst, k=1)
  219. 4936595494 2641255557 (David Broadhurst, k=2)
  220. 4966867792 9784715859 (Patrick Demichel, k=64771)
  221. 4975578270 7973891693 (Phil Carmody, k=18226)
  222. 4979293651 2017668531 (David Broadhurst, k=5)
  223. 4999690197 6152031619 (David Broadhurst, k=23)
  224. 5033471993 8697565317 (Norm Dresner, k=10258)
  225. 5058719911 1366849167 (David Broadhurst, k=1)
  226. 5144886003 4855113997 (David Broadhurst, k=2)
  227. 5249456857 2148917127 (David Broadhurst, k=1)
  228. 5250882443 8710357169 (Phil Carmody, k=1448)
  229. 5321507760 5321507761 (Phil Carmody, k=120)
  230. 5338190520 5338190521 (Patrick Demichel, k=1094340)
  231. 5363027799 6940570333 (David Broadhurst, k=34)
  232. 5449561007 8914907543 (David Broadhurst, k=89)
  233. 5599581680 6170736023 (Patrick Demichel, k=56779)
  234. 5640478379 8929167317 (David Broadhurst, k=26)
  235. 5679403924 1614059727 (Patrick Demichel, k=46517)
  236. 5694817169 5821452539 (David Broadhurst, k=1)
  237. 5845679457 9730376303 (Patrick Demichel, k=2757011)
  238. 6063561544 9540508081 (David Broadhurst, k=40)
  239. 6077942346 3570176179 (Phil Carmody, k=1133)
  240. 6094481803 3905518197 (David Broadhurst, k=2)
  241. 6190889105 5048486529 (David Broadhurst, k=64)
  242. 6225107458 6402398247 (David Broadhurst, k=1)
  243. 6258369252 1833708769 (David Broadhurst, k=16)
  244. 6297019136 3423249767 (Phil Carmody, k=357)
  245. 6343665207 8306252521 (David Broadhurst, k=20)
  246. 6366181453 6193913733 (Patrick Demichel, k=325402)
  247. 6372857265 2511931583 (David Broadhurst, k=1)
  248. 6418102469 4979947613 (Phil Carmody, k=494)
  249. 6471548023 5247008331 (Phil Carmody, k=435)
  250. 6473514651 3120881293 (Patrick Demichel, k=83882)
  251. 6476740346 3328407131 (David Broadhurst, k=5)
  252. 6488750311 8258287611 (Phil Carmody, k=195)
  253. 6512245060 7263445287 (Patrick Demichel, k=23161)
  254. 6553012079 5415007601 (Patrick Demichel, k=20600)
  255. 6556538292 6556538293 (David Broadhurst, k=2)
  256. 6561803412 6561803413 (John Gamble, k=17034)
  257. 6591373716 2631555539 (David Broadhurst, k=19)
  258. 6637680213 0909344317 (Phil Carmody, k=3942)
  259. 6763947668 2307579411 (David Broadhurst, k=5)
  260. 6858560963 7206479687 (David Broadhurst, k=1)
  261. 6879327536 2721483773 (David Broadhurst, k=34)
  262. 6895877526 8621477647 (David Broadhurst, k=1)
  263. 6962402433 8004338143 (David Broadhurst, k=69)
  264. 6967797141 5452227059 (Phil Carmody, k=1939)
  265. 6990112922 9665512703 (Phil Carmody, k=497)
  266. 6996937704 8829693289 (David Broadhurst, k=28)
  267. 7010631081 9494833973 (Patrick Demichel, k=9886)
  268. 7020189246 1893047329 (Phil Carmody, k=688)
  269. 7038741543 3515386249 (David Broadhurst, k=28)
  270. 7113625818 3997485293 (Patrick Demichel, k=1495786)
  271. 7198216927 0012783321 (Patrick Demichel, k=368620)
  272. 7337347191 4352167339 (Patrick Demichel, k=9673)
  273. 7413367745 7587772487 (Patrick Demichel, k=42567)
  274. 7433766623 7444282157 (David Broadhurst, k=2)
  275. 7445808145 6057517797 (Phil Carmody, k=1102)
  276. 7459353417 7200184087 (David Broadhurst, k=1)
  277. 7471697410 7841055717 (Patrick Demichel, k=75762)
  278. 7480526350 9219461877 (Phil Carmody, k=266)
  279. 7643426519 9130413059 (David Broadhurst, k=1)
  280. 7647658376 3141649517 (Patrick Demichel, k=328562)
  281. 7788117574 3604035171 (Patrick Demichel, k=8495)
  282. 7855819088 8920361813 (Phil Carmody, k=4734)
  283. 7916580641 3058742939 (David Broadhurst, k=43)
  284. 7944877343 5588012531 (David Broadhurst, k=5)
  285. 7983414161 0293496059 (Patrick Demichel, k=7131)
  286. 8016169779 0634385179 (David Broadhurst, k=1)
  287. 8052513193 2804988441 (Norm Dresner, k=11740)
  288. 8056463054 5493672447 (Phil Carmody, k=2713)
  289. 8178112602 8829019223 (David Broadhurst, k=1)
  290. 8215344389 0942618503 (David Broadhurst, k=7)
  291. 8248507418 9594160481 (Patrick Demichel, k=27280)
  292. 8266031025 0899438567 (Patrick Demichel, k=8273)
  293. 8347571156 0156161693 (Phil Carmody, k=262)
  294. 8366601101 7422911339 (Patrick Demichel, k=942401)
  295. 8371869775 1990424757 (David Broadhurst, k=2)
  296. 8390366513 4469604887 (David Broadhurst, k=7)
  297. 8499964227 1500035773 (David Broadhurst, k=14)
  298. 8522941717 4522727133 (Patrick Demichel, k=7514)
  299. 8680216484 5991259023 (David Broadhurst, k=1)
  300. 8682616938 3536937619 (David Broadhurst, k=1)
  301. 8734304526 8734304527 (David Broadhurst, k=1)
  302. 8809507640 8809507641 (David Broadhurst, k=20)
  303. 8839298356 4392949641 (Phil Carmody, k=340)
  304. 8866978074 4173388693 (David Broadhurst, k=2)
  305. 8882276259 8636741047 (David Broadhurst, k=1)
  306. 8899568125 6592310289 (David Broadhurst, k=8)
  307. 8901418921 9736494699 (Phil Carmody, k=2501)
  308. 8926561467 0722664263 (David Broadhurst, k=1)
  309. 9034536112 0559445169 (Patrick Demichel, k=6616)
  310. 9177919771 6336159459 (Phil Carmody, k=611)
  311. 9205063724 9403083527 (David Broadhurst, k=1)
  312. 9206426637 4218407611 (Patrick Demichel, k=1709285)
  313. 9288931566 3567778891 (David Broadhurst, k=5)
  314. 9300507319 0699492681 (Phil Carmody, k=260)
  315. 9302991895 5466844539 (David Broadhurst, k=41)
  316. 9349315770 9407253613 (Patrick Demichel, k=5462)
  317. 9352463969 5576694413 (David Broadhurst, k=2)
  318. 9438482117 9651608783 (Patrick Demichel, k=409499)
  319. 9601804972 0492894081 (Phil Carmody, k=960)
  320. 9634895404 9002586117 (David Broadhurst, k=2)
  321. 9671301796 3277627693 (Patrick Demichel, k=682186)
  322. 9675228810 5151083089 (Patrick Demichel, k=2317688)
  323. 9695856057 2166671659 (Phil Carmody, k=1421)
  324. 9786768876 2263470373 (David Broadhurst, k=14)
  325. 9812051575 3187740649 (Patrick Demichel, k=732644)
  326. 9927184513 8459068209 (Patrick Demichel, k=2222696)
  327. 9990771372 0748054573 (Phil Carmody, k=422)