Known 18-digit prime factors of Googolplex + 10

  1. Alpertron
  2. Number Theory
  3. Known 18-digit prime factors of Googolplex + 10
  1. 10005512 8505716009 (Phil Carmody, k=1116)
  2. 10070706 9199565201 (Patrick Demichel, k=1732600)
  3. 10121032 8665281103 (David Broadhurst, k=1)
  4. 10350944 2668384329 (Patrick Demichel, k=5884)
  5. 10390185 0164540539 (Phil Carmody, k=2851)
  6. 10716475 1690556253 (David Broadhurst, k=14)
  7. 10890353 1991843321 (David Broadhurst, k=20)
  8. 11035611 3559705927 (Patrick Demichel, k=288761)
  9. 11043747 4552301887 (David Broadhurst, k=1)
  10. 11199132 3706419863 (David Broadhurst, k=1)
  11. 11628202 1595786619 (David Broadhurst, k=13)
  12. 11774543 4391110247 (Phil Carmody, k=427)
  13. 11835834 8972381281 (Patrick Demichel, k=112560)
  14. 11846589 4487008423 (Patrick Demichel, k=1656229)
  15. 11851674 7619872009 (David Broadhurst, k=76)
  16. 11887315 4238859703 (Norm Dresner, k=13991)
  17. 12001200 1200120013 (David Broadhurst, k=2)
  18. 12135618 5612375173 (David Broadhurst, k=2)
  19. 12148270 5309359491 (David Broadhurst, k=5)
  20. 12228223 8139326847 (David Broadhurst, k=7)
  21. 12290179 2722120281 (Patrick Demichel, k=142580)
  22. 12369777 9987630223 (Phil Carmody, k=289)
  23. 12396950 2997557207 (David Broadhurst, k=1)
  24. 12446660 8106205487 (David Broadhurst, k=1)
  25. 12536732 1199584481 (David Broadhurst, k=80)
  26. 12642806 3736680677 (Phil Carmody, k=142)
  27. 12761500 2945977179 (David Broadhurst, k=1)
  28. 12934131 4128480011 (David Broadhurst, k=5)
  29. 13013911 5567941899 (David Broadhurst, k=1)
  30. 13086391 2851534287 (David Broadhurst, k=1)
  31. 13086659 4176843053 (David Broadhurst, k=2)
  32. 13158746 5014410491 (David Broadhurst, k=5)
  33. 13199698 1536615801 (David Broadhurst, k=100)
  34. 13244465 0676898801 (Patrick Demichel, k=286600)
  35. 13487343 7617688969 (Patrick Demichel, k=146876)
  36. 13568724 1078623623 (Patrick Demichel, k=29521)
  37. 13718185 1291434921 (David Broadhurst, k=20)
  38. 13974615 6376782211 (Phil Carmody, k=1535)
  39. 14425600 8491531899 (David Broadhurst, k=13)
  40. 14467579 2073803409 (Paul Leyland, k=38008)
  41. 14669185 1036417053 (David Broadhurst, k=2)
  42. 14700683 1717162091 (David Broadhurst, k=5)
  43. 14731730 7040995499 (David Broadhurst, k=1)
  44. 15056199 9647884841 (David Broadhurst, k=20)
  45. 15341864 6862399641 (David Broadhurst, k=20)
  46. 15410415 1302539129 (David Broadhurst, k=4)
  47. 15678916 8642654013 (Phil Carmody, k=214)
  48. 16338595 2370691041 (David Broadhurst, k=80)
  49. 16355229 3503579971 (John Gamble, k=16915)
  50. 16424464 2154953823 (David Broadhurst, k=49)
  51. 16817567 4779930401 (Phil Carmody, k=400)
  52. 16944314 0991559423 (Phil Carmody, k=247)
  53. 16974552 3592235779 (David Broadhurst, k=1)
  54. 17175572 5018671487 (David Broadhurst, k=7)
  55. 17590134 3399825859 (David Broadhurst, k=1)
  56. 17653340 9239784167 (David Broadhurst, k=1)
  57. 17759511 5055688609 (Phil Carmody, k=688)
  58. 17844196 8962445607 (Patrick Demichel, k=277187)
  59. 17987829 8144948173 (Phil Carmody, k=2814)
  60. 18133187 4350656459 (David Broadhurst, k=13)
  61. 18315377 4520339237 (David Broadhurst, k=2)
  62. 18434747 8038236729 (David Broadhurst, k=4)
  63. 18586326 0018586327 (David Broadhurst, k=11)
  64. 18632747 5922326663 (Phil Carmody, k=4949)
  65. 18759095 2903133761 (Phil Carmody, k=160)
  66. 19064787 0118074689 (Patrick Demichel, k=348704)
  67. 19152991 8193709899 (Phil Carmody, k=2161)
  68. 19211427 8635421539 (David Broadhurst, k=1)
  69. 19280028 4765101157 (David Broadhurst, k=26)
  70. 19287957 9809710333 (David Broadhurst, k=14)
  71. 19404289 3134343573 (Patrick Demichel, k=5774)
  72. 19590759 5321362651 (David Broadhurst, k=25)
  73. 19657383 5947361423 (Patrick Demichel, k=147841)
  74. 20414170 9491024049 (David Broadhurst, k=8)
  75. 20546478 6053851927 (David Broadhurst, k=7)
  76. 20575214 9808770641 (David Broadhurst, k=40)
  77. 20894299 9633926739 (David Broadhurst, k=1)
  78. 21486603 9978513397 (David Broadhurst, k=2)
  79. 21558398 9425681529 (David Broadhurst, k=4)
  80. +219135734428644361 (David Broadhurst using ECM) (k=44923274790620)
  81. 22110783 3165290677 (Patrick Demichel, k=106766)
  82. 22358956 0561457971 (Phil Carmody, k=1145)
  83. 22907466 3032098841 (David Broadhurst, k=20)
  84. 23240012 4161082373 (David Broadhurst, k=2)
  85. 23530652 2086835453 (Patrick Demichel, k=804442)
  86. 23543509 1108367811 (Patrick Demichel, k=441485)
  87. 23933515 7784888397 (Patrick Demichel, k=122402)
  88. 24320577 9797620499 (Patrick Demichel, k=254669)
  89. 24542242 4353013983 (Patrick Demichel, k=174809)
  90. 25022976 4163788837 (Phil Carmody, k=1106)
  91. 25314076 7322959407 (David Broadhurst, k=1)
  92. 25975536 6143102611 (Phil Carmody, k=3235)
  93. 26079416 8645039921 (David Broadhurst, k=40)
  94. 26127328 8491943047 (David Broadhurst, k=43)
  95. 26127890 3209104463 (David Broadhurst, k=97)
  96. 26202841 7481972241 (David Broadhurst, k=40)
  97. 26372194 5585276487 (David Broadhurst, k=77)
  98. 26446198 0630200373 (Phil Carmody, k=1994)
  99. 26663390 2703963917 (David Broadhurst, k=2)
  100. +267003239205288169 (David Broadhurst using ECM) (k=32890273368476)
  101. 27346562 0780734247 (Phil Carmody, k=223)
  102. 27450153 0661547647 (Phil Carmody, k=18687)
  103. 27589223 1474754291 (Patrick Demichel, k=1988505)
  104. 27683595 5744674129 (David Broadhurst, k=8)
  105. 28151969 1821039251 (Phil Carmody, k=2875)
  106. 28214601 4560039517 (David Broadhurst, k=62)
  107. 28482490 3853155117 (Phil Carmody, k=106)
  108. 28759970 3178926653 (Phil Carmody, k=3622)
  109. 28995786 8642381837 (Phil Carmody, k=1118)
  110. 29073018 0029073019 (David Broadhurst, k=13)
  111. 29238764 0236317931 (David Broadhurst, k=5)
  112. 29265702 6270797299 (Patrick Demichel, k=23161)
  113. 29402547 1444566739 (Patrick Demichel, k=100461)
  114. 29408373 6424066117 (David Broadhurst, k=2)
  115. 29578197 6205013929 (David Broadhurst, k=28)
  116. 29742687 5949998929 (David Broadhurst, k=56)
  117. 29964664 3339744447 (David Broadhurst, k=1)
  118. 30114062 0030114063 (David Broadhurst, k=1)
  119. 30938808 3348960727 (David Broadhurst, k=1)
  120. 31003514 3656767973 (David Broadhurst, k=2)
  121. 31008539 0922097649 (Phil Carmody, k=104)
  122. +315073697412756811 (k=116435217077885)
  123. 31566418 2372031769 (David Broadhurst, k=4)
  124. 31659070 7773218979 (David Broadhurst, k=1)
  125. 31665238 9774002019 (David Broadhurst, k=1)
  126. 32112622 8615337489 (David Broadhurst, k=56)
  127. 32291930 4205354583 (Phil Carmody, k=121)
  128. 32547742 6369181407 (David Broadhurst, k=1)
  129. 32569113 3171612499 (David Broadhurst, k=81)
  130. 32854146 8783634019 (David Broadhurst, k=1)
  131. 32966363 9117970601 (David Broadhurst, k=100)
  132. 33272064 1973116849 (David Broadhurst, k=8)
  133. 34584264 1712076499 (David Broadhurst, k=1)
  134. 35029872 7458205223 (David Broadhurst, k=1)
  135. 35099895 6405538409 (Patrick Demichel, k=82244)
  136. 35468540 0488131637 (Phil Carmody, k=406)
  137. 35788683 0313909447 (Patrick Demichel, k=94021)
  138. 35902360 7170554481 (Patrick Demichel, k=87080)
  139. 36220673 7601337521 (David Broadhurst, k=40)
  140. 36493832 1377647583 (David Broadhurst, k=1)
  141. 36724116 0036724117 (David Broadhurst, k=26)
  142. 37603140 1038098527 (Patrick Demichel, k=9401)
  143. 37691365 6315666499 (David Broadhurst, k=49)
  144. 37720673 4763664647 (David Broadhurst, k=31)
  145. 37721739 9707976739 (David Broadhurst, k=43)
  146. 37873447 9776724699 (Phil Carmody, k=2321)
  147. 37900228 2960726613 (Phil Carmody, k=874)
  148. 38276570 5295670091 (David Broadhurst, k=5)
  149. 38619620 8950290491 (David Broadhurst, k=5)
  150. 38741083 2482784133 (David Broadhurst, k=22)
  151. 38823011 5260511801 (Phil Carmody, k=3100)
  152. 39804130 6222822133 (David Broadhurst, k=26)
  153. 39946480 8151488503 (Patrick Demichel, k=55241)
  154. 39994499 7230417299 (David Broadhurst, k=1)
  155. 40106739 3914069167 (David Broadhurst, k=1)
  156. 40154265 3135513979 (David Broadhurst, k=1)
  157. 40934600 0875547293 (Phil Carmody, k=4562)
  158. 40961397 5674963093 (Phil Carmody, k=114)
  159. 41073138 0041073139 (David Broadhurst, k=1)
  160. 41455031 2153666921 (Phil Carmody, k=140)
  161. 41641593 8169740521 (David Broadhurst, k=20)
  162. 42692061 9189825641 (David Broadhurst, k=20)
  163. 42807386 5893474211 (Paul Leyland, k=30495)
  164. 42997246 2108781237 (David Broadhurst, k=2)
  165. 43315580 9208613303 (Phil Carmody, k=119)
  166. 44053662 1964415143 (David Broadhurst, k=1)
  167. 44586184 3063982731 (Phil Carmody, k=1435)
  168. 45277586 6621389081 (Phil Carmody, k=19180)
  169. 45322522 1030842327 (David Broadhurst, k=47)
  170. 45356576 7149537401 (Patrick Demichel, k=1172300)
  171. 45838011 3352639813 (Phil Carmody, k=114)
  172. 45985718 8478772659 (Patrick Demichel, k=43169)
  173. 46415898 8915900983 (Phil Carmody, k=1987)
  174. 46759174 5341520277 (Patrick Demichel, k=64886)
  175. 47431016 2347247477 (Phil Carmody, k=1762)
  176. 50037258 5641019653 (David Broadhurst, k=2)
  177. 50209946 9262296929 (David Broadhurst, k=16)
  178. 51300031 8848979881 (Patrick Demichel, k=1870340)
  179. 52014142 5794588401 (Patrick Demichel, k=1941400)
  180. +528409639473126379 (David Broadhurst using ECM) (k=29543198002523)
  181. 53575823 1146990729 (David Broadhurst, k=4)
  182. 54549446 9415875167 (David Broadhurst, k=1)
  183. 54765907 2397225933 (Phil Carmody, k=442)
  184. 55322225 4490132321 (Phil Carmody, k=240)
  185. 55732176 4048693447 (Phil Carmody, k=1171)
  186. 55758978 0055758979 (David Broadhurst, k=11)
  187. 56618570 3620975007 (Phil Carmody, k=493)
  188. 57059673 9942940327 (Patrick Demichel, k=8057)
  189. 57292921 2872000009 (David Broadhurst, k=4)
  190. 57967103 1961244413 (David Broadhurst, k=14)
  191. 58197525 2787330931 (David Broadhurst, k=5)
  192. 58296946 8943359983 (David Broadhurst, k=1)
  193. 58298231 3437636729 (David Broadhurst, k=28)
  194. 59018772 0059018773 (Phil Carmody, k=1082)
  195. 59081061 9662705927 (Phil Carmody, k=1753)
  196. 59408947 6814540477 (Phil Carmody, k=238)
  197. 59576333 8683858769 (Patrick Demichel, k=3031576)
  198. 59578027 6525810927 (David Broadhurst, k=1)
  199. 59887929 5722397167 (Patrick Demichel, k=1708621)
  200. 59951874 8968073903 (David Broadhurst, k=1)
  201. 60211100 0630671423 (Phil Carmody, k=557)
  202. 60450301 8251932823 (David Broadhurst, k=1)
  203. 60710145 4410834571 (Phil Carmody, k=2945)
  204. 62691688 1448830303 (David Broadhurst, k=1)
  205. 62768725 7367656971 (David Broadhurst, k=15)
  206. 63859395 2143067317 (David Broadhurst, k=2)
  207. 64846138 2837123367 (David Broadhurst, k=7)
  208. 64916220 7193629093 (David Broadhurst, k=2)
  209. 65258018 8812070927 (David Broadhurst, k=11)
  210. 65788061 5638555167 (David Broadhurst, k=13)
  211. 66128626 0150673543 (Phil Carmody, k=161)
  212. 66194283 8861858093 (Phil Carmody, k=4886)
  213. 66255137 2419069047 (Phil Carmody, k=1483)
  214. 66745902 0868063447 (David Broadhurst, k=1)
  215. 67255530 3231657823 (David Broadhurst, k=9)
  216. 67865335 1354994049 (Phil Carmody, k=576)
  217. 68255145 7733942743 (David Broadhurst, k=37)
  218. 70407751 4292735881 (Phil Carmody, k=2140)
  219. 71270365 2134820127 (David Broadhurst, k=1)
  220. 71930203 2525687733 (Patrick Demichel, k=691974)
  221. 72000720 0072000721 (David Broadhurst, k=40)
  222. 73597794 0532462813 (Patrick Demichel, k=47902)
  223. 74679964 8637232917 (David Broadhurst, k=2)
  224. 75469688 8182249253 (Phil Carmody, k=3082)
  225. 76409198 0868488407 (David Broadhurst, k=1)
  226. 76437391 5523575397 (Phil Carmody, k=442)
  227. 76997413 6460312081 (Phil Carmody, k=440)
  228. 79179213 9732416167 (David Broadhurst, k=1)
  229. 79540941 6284095423 (David Broadhurst, k=29)
  230. +799168560350388247 (David Broadhurst using ECM) (k=176885471525097)
  231. 80138565 3117583579 (Paul Leyland, k=38693)
  232. 80411987 6889284983 (Phil Carmody, k=247)
  233. 80609308 7906837287 (Patrick Demichel, k=1263307)
  234. 81219170 5043569489 (Phil Carmody, k=3816)
  235. 81357632 4282208819 (Phil Carmody, k=613)
  236. 81492409 6265710663 (David Broadhurst, k=7)
  237. 81645179 0094183853 (Patrick Demichel, k=776454)
  238. 82817394 1282515277 (David Broadhurst, k=2)
  239. 83013291 7900489477 (Patrick Demichel, k=234962)
  240. 83693822 8389548407 (David Broadhurst, k=1)
  241. 84755588 0876834797 (David Broadhurst, k=2)
  242. 84804589 6718467957 (Phil Carmody, k=1126)
  243. 87703201 3975120583 (David Broadhurst, k=1)
  244. 88004334 4790044447 (Phil Carmody, k=257)
  245. 88148399 8478000899 (Phil Carmody, k=3953)
  246. 90207368 9122468699 (David Broadhurst, k=1)
  247. 90394743 1338090973 (David Broadhurst, k=14)
  248. 90560799 9909439201 (Patrick Demichel, k=180400)
  249. 90895058 9906135053 (David Broadhurst, k=2)
  250. 92143246 2940396171 (David Broadhurst, k=15)
  251. 92832098 2801805623 (Patrick Demichel, k=98597)
  252. 94889599 5818594437 (Phil Carmody, k=3506)
  253. 97088724 2695448293 (David Broadhurst, k=2)
  254. 97347598 8423407129 (David Broadhurst, k=4)
  255. 98116872 4994134051 (Phil Carmody, k=2475)

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.