Known 19-digit prime factors of Googolplex + 10

>
>
Known 19-digit prime factors of Googolplex + 10

  1. 102462834 0621757567 (David Broadhurst, k=1)
  2. 102601827 2686390609 (David Broadhurst, k=8)
  3. 103312295 6814933157 (David Broadhurst, k=2)
  4. 103636203 9625111651 (David Broadhurst, k=25)
  5. 106310778 0316202539 (David Broadhurst, k=1)
  6. 108371777 5299973771 (David Broadhurst, k=15)
  7. 108583250 0150784889 (Norm Dresner, k=10356)
  8. 108741793 2550184797 (Phil Carmody, k=166)
  9. 110405450 8837412411 (Patrick Demichel, k=252055)
  10. 111950496 3774888373 (David Broadhurst, k=2)
  11. 112795922 1131357491 (David Broadhurst, k=5)
  12. 113881690 8386833303 (Patrick Demichel, k=1447399)
  13. 115354705 1176158211 (Patrick Demichel, k=6045)
  14. 115864681 5957448841 (Patrick Demichel, k=7820)
  15. 116089627 0967399539 (Phil Carmody, k=4121)
  16. 120343660 4029704139 (David Broadhurst, k=1)
  17. 120565562 0912644771 (Phil Carmody, k=165)
  18. 122563325 9794248889 (Phil Carmody, k=3188)
  19. 123914830 5074409881 (Phil Carmody, k=2540)
  20. 124450526 6001010729 (Phil Carmody, k=156)
  21. 124969620 2130052931 (Phil Carmody, k=215)
  22. 126356418 0126356419 (David Broadhurst, k=1)
  23. 126413386 0407701047 (Phil Carmody, k=4597)
  24. 126489653 5320664819 (David Broadhurst, k=13)
  25. 127135924 8245947807 (David Broadhurst, k=1)
  26. 130077025 4415377521 (David Broadhurst, k=40)
  27. 131203312 7588426809 (Patrick Demichel, k=24636)
  28. 133325239 7294612677 (David Broadhurst, k=42)
  29. 133982321 0560415533 (David Broadhurst, k=14)
  30. 134002467 4589448013 (Phil Carmody, k=3194)
  31. 136621646 5202248771 (David Broadhurst, k=15)
  32. 136704896 6023879207 (David Broadhurst, k=1)
  33. 138094827 5217358343 (Phil Carmody, k=281)
  34. 139046678 8678798477 (David Broadhurst, k=46)
  35. 139365152 0054961877 (Patrick Demichel, k=40302)
  36. 141581418 9777117769 (David Broadhurst, k=68)
  37. 142521328 4600997091 (Phil Carmody, k=905)
  38. 143186120 8336262419 (David Broadhurst, k=13)
  39. 143288513 1608374459 (David Broadhurst, k=21)
  40. 143878697 8862506849 (David Broadhurst, k=16)
  41. 143917699 0836987007 (David Broadhurst, k=1)
  42. 145057215 6284052649 (David Broadhurst, k=28)
  43. 145927818 8874162383 (David Broadhurst, k=1)
  44. 151260758 7712617881 (Phil Carmody, k=340)
  45. 155905636 4692579213 (David Broadhurst, k=2)
  46. 155987618 0548110877 (David Broadhurst, k=2)
  47. 159074450 2186330823 (David Broadhurst, k=1)
  48. 161079601 1521903607 (David Broadhurst, k=83)
  49. 162540399 7615237379 (Phil Carmody, k=259)
  50. 164198673 9051518641 (David Broadhurst, k=40)
  51. 164402407 4566274677 (David Broadhurst, k=2)
  52. 166035257 1521481619 (Phil Carmody, k=1301)
  53. 166960829 2660606693 (Phil Carmody, k=254)
  54. 167574427 8731288173 (Patrick Demichel, k=924354)
  55. 167579829 5010382447 (David Broadhurst, k=1)
  56. 168802021 7541420877 (Patrick Demichel, k=6562)
  57. 169708980 9364659091 (David Broadhurst, k=5)
  58. 169893285 6681547957 (Phil Carmody, k=2142)
  59. 170976566 9606192329 (Paul Leyland, k=35828)
  60. 176235925 6088505493 (David Broadhurst, k=2)
  61. 176293319 7359123197 (Patrick Demichel, k=324686)
  62. 178311237 0769725517 (David Broadhurst, k=2)
  63. 179934657 7210318819 (Phil Carmody, k=241)
  64. 181365233 3059302361 (David Broadhurst, k=20)
  65. 182757574 5464674063 (Patrick Demichel, k=67119)
  66. 183372728 4665112121 (Patrick Demichel, k=599020)
  67. 183572980 2580654663 (Patrick Demichel, k=445337)
  68. 184228088 3496481447 (David Broadhurst, k=27)
  69. 185847614 3759487103 (Patrick Demichel, k=71039)
  70. 187153352 6549586743 (David Broadhurst, k=1)
  71. 195813765 6295296601 (Phil Carmody, k=2700)
  72. 199796291 0694006967 (David Broadhurst, k=27)
  73. 200237706 2604190339 (David Broadhurst, k=1)
  74. 200548824 4840101583 (Norm Dresner, k=13877)
  75. 201848085 0026536717 (David Broadhurst, k=2)
  76. 202803362 3596816453 (David Broadhurst, k=2)
  77. 204093942 7292271931 (David Broadhurst, k=5)
  78. 204122737 9795877263 (David Broadhurst, k=19)
  79. 210864228 2905018423 (Patrick Demichel, k=23167)
  80. 211120594 2261588013 (David Broadhurst, k=82)
  81. 213270269 9683671721 (Patrick Demichel, k=370540)
  82. 214809754 7347641451 (Patrick Demichel, k=26275)
  83. 214960458 0214960459 (Phil Carmody, k=173)
  84. 217597585 7964220597 (David Broadhurst, k=2)
  85. 219933227 9780066773 (Patrick Demichel, k=438114)
  86. 221525081 6535715219 (David Broadhurst, k=13)
  87. 221718666 6591905531 (Phil Carmody, k=1765)
  88. 223542538 8874163047 (Phil Carmody, k=4497)
  89. 224674180 1732608969 (Patrick Demichel, k=2083628)
  90. 229716505 2261044767 (David Broadhurst, k=1)
  91. 229873966 6599394327 (Phil Carmody, k=3717)
  92. 230847836 3289277939 (David Broadhurst, k=1)
  93. 231383044 7796205477 (David Broadhurst, k=2)
  94. 239000889 4354365373 (Patrick Demichel, k=29234)
  95. 240939627 6450032899 (Patrick Demichel, k=112133)
  96. 244814816 4864978613 (David Broadhurst, k=2)
  97. 247818974 6697974299 (David Broadhurst, k=1)
  98. 249224540 0944407049 (David Broadhurst, k=36)
  99. 249673417 3326813041 (Phil Carmody, k=4520)
  100. 252175959 9280419367 (David Broadhurst, k=61)
  101. 253114566 5736186517 (Patrick Demichel, k=403422)
  102. 254978787 4116364927 (David Broadhurst, k=57)
  103. 255243789 0273702091 (Paul Leyland, k=34765)
  104. 258277448 4066660613 (David Broadhurst, k=2)
  105. 258889626 4110648251 (Patrick Demichel, k=800375)
  106. 264919480 8779770967 (David Broadhurst, k=13)
  107. +2670502781396266997 (k=32567107090198378)
  108. 272255927 6487493489 (David Broadhurst, k=8)
  109. 273328636 9580259331 (Phil Carmody, k=305)
  110. 273927596 8210920889 (Phil Carmody, k=1748)
  111. 274224796 4234620837 (Phil Carmody, k=102)
  112. 276436627 0488421453 (David Broadhurst, k=14)
  113. 277638614 7608900971 (Phil Carmody, k=2015)
  114. 277929647 7125103211 (Phil Carmody, k=2435)
  115. 279961498 0612921087 (David Broadhurst, k=7)
  116. 281363931 5430241013 (David Broadhurst, k=26)
  117. 282995455 8413736967 (Patrick Demichel, k=684631)
  118. 283839059 5520019139 (David Broadhurst, k=1)
  119. 285909248 9351145059 (Paul Leyland, k=33619)
  120. 292917659 4468539047 (Norm Dresner, k=13917)
  121. 295843257 9711847729 (David Broadhurst, k=56)
  122. 302209772 0935602607 (David Broadhurst, k=11)
  123. 302528288 5709344927 (Patrick Demichel, k=25121)
  124. 316687225 0204017983 (David Broadhurst, k=1)
  125. 320510022 2559555143 (Patrick Demichel, k=1944541)
  126. 320928908 6637286207 (David Broadhurst, k=1)
  127. 321234652 0051435979 (Patrick Demichel, k=88489)
  128. 322597593 7880493529 (Phil Carmody, k=556)
  129. 324242919 6803624917 (Phil Carmody, k=18582)
  130. 324567146 5243235689 (Patrick Demichel, k=25348)
  131. 327806689 6771002811 (Patrick Demichel, k=1238645)
  132. 329001879 4108853743 (David Broadhurst, k=39)
  133. 333494859 7171148299 (Patrick Demichel, k=112883)
  134. 337980621 3504643807 (Patrick Demichel, k=552721)
  135. 340249806 9121122247 (David Broadhurst, k=11)
  136. 341038658 0224447693 (David Broadhurst, k=2)
  137. 342281942 6818776529 (Phil Carmody, k=248)
  138. 342668978 4071862487 (Patrick Demichel, k=53787)
  139. 347068878 0258991729 (David Broadhurst, k=8)
  140. 347850912 4888941001 (Patrick Demichel, k=604500)
  141. 349215708 8195469739 (David Broadhurst, k=1)
  142. 352902552 5869872619 (Patrick Demichel, k=100973)
  143. 355426113 0312880571 (Phil Carmody, k=3385)
  144. 356709007 8140439601 (Patrick Demichel, k=598200)
  145. 358133931 0523752823 (Phil Carmody, k=2479)
  146. 362936274 6191798179 (David Broadhurst, k=1)
  147. 365315993 1542679143 (Phil Carmody, k=221)
  148. 367069461 1719343009 (Patrick Demichel, k=101488)
  149. 371888012 0451297253 (Patrick Demichel, k=290462)
  150. 373223351 0023680619 (Patrick Demichel, k=27361)
  151. 375923845 4128983013 (David Broadhurst, k=2)
  152. 377761168 7889591931 (Norm Dresner, k=13055)
  153. 381251347 4362696093 (Phil Carmody, k=194)
  154. 382894533 4606931179 (David Broadhurst, k=1)
  155. 388397577 0039597613 (Phil Carmody, k=2174)
  156. 391174311 0961375579 (Phil Carmody, k=161)
  157. 391863336 8768028263 (David Broadhurst, k=1)
  158. 392077687 0971637213 (Patrick Demichel, k=87322)
  159. 392876467 5577047967 (John Gamble, k=17837)
  160. 393393181 9606606819 (David Broadhurst, k=91)
  161. 397270188 6680592367 (Patrick Demichel, k=196301)
  162. 398637284 3327740087 (Phil Carmody, k=1937)
  163. 399541262 5450933567 (David Broadhurst, k=1)
  164. 400843935 3822395383 (Phil Carmody, k=1089)
  165. 404526380 7902156687 (Phil Carmody, k=3493)
  166. 408879334 6257787333 (Patrick Demichel, k=2443502)
  167. 410085288 9717015983 (David Broadhurst, k=1)
  168. 411921052 2705394117 (Phil Carmody, k=182)
  169. 414362938 7249597731 (David Broadhurst, k=5)
  170. 415657836 0415657837 (David Broadhurst, k=2)
  171. 415783505 7374910011 (David Broadhurst, k=5)
  172. 417030996 2497865317 (Patrick Demichel, k=517582)
  173. 418374330 0418374331 (David Broadhurst, k=5)
  174. 419381203 3533983569 (David Broadhurst, k=8)
  175. 420682473 0208877899 (Patrick Demichel, k=8093)
  176. 423232537 4831361259 (David Broadhurst, k=1)
  177. 424960027 8666541921 (Phil Carmody, k=3440)
  178. 425400221 7893607367 (Phil Carmody, k=3551)
  179. 426810663 3697048099 (David Broadhurst, k=1)
  180. 434085790 1483563921 (Patrick Demichel, k=624440)
  181. 437182575 3436754773 (Phil Carmody, k=114)
  182. 438476860 6228189807 (Patrick Demichel, k=25691)
  183. 447379905 9540402331 (David Broadhurst, k=5)
  184. 448017276 5677443979 (Patrick Demichel, k=169741)
  185. 459674599 1946388237 (David Broadhurst, k=2)
  186. 465710702 5695027691 (Phil Carmody, k=155)
  187. 466155734 4822591379 (David Broadhurst, k=1)
  188. 471078284 5621382641 (David Broadhurst, k=40)
  189. 471168131 3520387889 (David Broadhurst, k=8)
  190. 477431233 7755595651 (Phil Carmody, k=575)
  191. 479476940 3635487167 (David Broadhurst, k=17)
  192. 480744118 1511465481 (David Broadhurst, k=60)
  193. 484336888 1960033011 (Patrick Demichel, k=20035)
  194. 486468868 0235437813 (David Broadhurst, k=2)
  195. 493324175 4800017201 (Phil Carmody, k=200)
  196. 493561605 1949948647 (John Gamble, k=17317)
  197. +4964361517926013823 (David Broadhurst using ECM) (k=491423630758861)
  198. 498940206 8849892013 (David Broadhurst, k=2)
  199. 501586963 3439607779 (Patrick Demichel, k=3078329)
  200. 502601020 0659387361 (Patrick Demichel, k=46320)
  201. 503184184 2464336401 (Phil Carmody, k=3400)
  202. 506193109 0188913813 (David Broadhurst, k=2)
  203. 507390139 9874213677 (Patrick Demichel, k=2223382)
  204. 510698991 4289208727 (David Broadhurst, k=1)
  205. 513848089 6265073011 (David Broadhurst, k=5)
  206. 514466460 5555441143 (David Broadhurst, k=19)
  207. 520035910 1999954369 (Phil Carmody, k=224)
  208. 530627798 8993936489 (Patrick Demichel, k=47108)
  209. 531715611 8739258917 (David Broadhurst, k=38)
  210. 533872355 0729985739 (Phil Carmody, k=931)
  211. 535870413 1921678183 (Patrick Demichel, k=7069)
  212. 552319579 6259912299 (David Broadhurst, k=1)
  213. 554311636 0710991927 (David Broadhurst, k=31)
  214. 557644225 4996829499 (David Broadhurst, k=1)
  215. 562140873 7064404813 (David Broadhurst, k=54)
  216. 568272932 3918705077 (Patrick Demichel, k=283802)
  217. 573240071 2467224687 (Phil Carmody, k=193)
  218. 573615650 9695868863 (Phil Carmody, k=1667)
  219. 576090339 6364042699 (David Broadhurst, k=1)
  220. 580694555 8204456933 (David Broadhurst, k=14)
  221. 581830045 2859057769 (David Broadhurst, k=4)
  222. 584003561 1277384477 (David Broadhurst, k=2)
  223. 588351320 9512384081 (Patrick Demichel, k=6680)
  224. 594056726 0351187481 (Patrick Demichel, k=1718060)
  225. 594785012 8902109957 (David Broadhurst, k=22)
  226. 597057487 1336893093 (David Broadhurst, k=22)
  227. 600631742 0997184237 (Patrick Demichel, k=6506)
  228. 611045575 2294213893 (Norm Dresner, k=13546)
  229. 616692160 3056788179 (David Broadhurst, k=1)
  230. 617742488 0617742489 (David Broadhurst, k=4)
  231. 620136976 1884824691 (David Broadhurst, k=5)
  232. 621458140 0406915317 (Norm Dresner, k=12806)
  233. 625199586 5205228601 (Phil Carmody, k=700)
  234. 640897285 7719979383 (Phil Carmody, k=107)
  235. 641315404 5312654487 (David Broadhurst, k=7)
  236. 642857953 3453593983 (David Broadhurst, k=1)
  237. 646124144 0833852927 (Phil Carmody, k=4741)
  238. 649211119 7363205613 (David Broadhurst, k=2)
  239. 667988169 1908552733 (David Broadhurst, k=2)
  240. 675966111 2809362451 (Patrick Demichel, k=210525)
  241. 684017876 4149685007 (Patrick Demichel, k=2566447)
  242. 685620660 5078877251 (Phil Carmody, k=2375)
  243. 688290983 5218529531 (David Broadhurst, k=55)
  244. 691611064 7462470477 (David Broadhurst, k=2)
  245. 695821078 5157837459 (David Broadhurst, k=1)
  246. 696857856 5567928277 (Patrick Demichel, k=6042)
  247. 697809921 2578998041 (David Broadhurst, k=20)
  248. 699213293 0427364219 (David Broadhurst, k=1)
  249. 705967353 8235376567 (David Broadhurst, k=1)
  250. 709057932 0709057933 (David Broadhurst, k=2)
  251. 711417755 1658305943 (Phil Carmody, k=159)
  252. 714877819 7286467767 (David Broadhurst, k=1)
  253. 727154211 9859524383 (John Gamble, k=16301)
  254. 728577645 3995904379 (David Broadhurst, k=1)
  255. 731527271 6759247637 (Patrick Demichel, k=5542)
  256. 752361294 2712960367 (Phil Carmody, k=637)
  257. 752858369 1426971053 (Patrick Demichel, k=197894)
  258. 756937152 6941630743 (David Broadhurst, k=7)
  259. 759158627 5031962921 (David Broadhurst, k=20)
  260. 763164244 4452210253 (Phil Carmody, k=2386)
  261. 771733767 3542137609 (Phil Carmody, k=188)
  262. 773186724 6972535819 (David Broadhurst, k=1)
  263. 781893508 6368245929 (Phil Carmody, k=188)
  264. 784530753 8731773223 (David Broadhurst, k=7)
  265. 785055325 8012778099 (Patrick Demichel, k=21271)
  266. 795348130 3241128579 (Phil Carmody, k=1141)
  267. 799082525 0901867133 (David Broadhurst, k=2)
  268. 799195523 6922784447 (David Broadhurst, k=31)
  269. 816042600 1006045579 (Phil Carmody, k=931)
  270. 816776193 2910161077 (David Broadhurst, k=2)
  271. 826535538 0826535539 (David Broadhurst, k=1)
  272. 835074490 2535159213 (David Broadhurst, k=2)
  273. 840817557 4136626601 (Phil Carmody, k=1300)
  274. 846228861 3560515207 (David Broadhurst, k=1)
  275. 847043164 5403627663 (David Broadhurst, k=7)
  276. 855571732 4221908367 (Norm Dresner, k=13721)
  277. 862373699 2278794077 (Patrick Demichel, k=83126)
  278. 863506194 5021922037 (David Broadhurst, k=2)
  279. 878322221 7230384023 (Patrick Demichel, k=151007)
  280. 884001081 3925347013 (David Broadhurst, k=2)
  281. 890712132 1331265649 (David Broadhurst, k=56)
  282. 901348996 1846781247 (David Broadhurst, k=11)
  283. 902248734 5194139503 (Paul Leyland, k=31507)
  284. 903173254 2733190383 (Patrick Demichel, k=5589)
  285. 906754527 3778992331 (David Broadhurst, k=5)
  286. 909439358 4636752503 (David Broadhurst, k=9)
  287. 915523184 8216985491 (Phil Carmody, k=3505)
  288. 917430466 3117597477 (David Broadhurst, k=22)
  289. 918223739 0125665823 (Norm Dresner, k=13749)
  290. 927630475 6317141973 (Patrick Demichel, k=58682)
  291. 932912255 9347945099 (Patrick Demichel, k=497803)
  292. 940589214 8805802211 (David Broadhurst, k=5)
  293. 945440465 0951977489 (Paul Leyland, k=37816)
  294. 947260446 0947260447 (Phil Carmody, k=211)
  295. 947415938 0128438249 (Patrick Demichel, k=6876)
  296. 957929954 0441234407 (David Broadhurst, k=1)
  297. 967450358 0550164819 (Phil Carmody, k=329)
  298. 976323715 5373274849 (Patrick Demichel, k=2287664)
  299. 976769298 8313123601 (Phil Carmody, k=200)
  300. 989547501 4010111173 (Phil Carmody, k=362)
  301. 996265769 6964313837 (David Broadhurst, k=2)

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.