Known 20-digit prime factors of Googolplex + 10

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Known 20-digit prime factors of Googolplex + 10

  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 using 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)

Phil Carmody is organizing a distributed computing project in order to find more factors of Googolplex + 10. If you like these pages I would appreciate that you donate some idle cycles of your computer. You will be cited as the discoverer of the factors you find.

Perl script written by Dario Alejandro Alpern. Last updated on May 25th, 2015.