Known 28-digit prime factors of Googolplex - 10

  1. Alpertron
  2. Number Theory
  3. Known 28-digit prime factors of Googolplex − 10

This is a list of known 28-digit prime factors of googolplex − 10, i.e., 1010^100 − 10.

These numbers have the form 1 + 2k ∏i piei, where pi is a prime factor of 10100 − 1 and ei is zero or one.

The list of prime factors of 10100 − 1 is: 3, 3, 11, 41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801, 18 2521213001, 1410 3673319201, 7887 5943472201 and 168058 8011350901.

In the list you can see the prime factors, their discoverer and their corresponding value of k.

  1. 10101418 6941841398 3459819733 (Phil Carmody, k=82)
  2. 10110178 3708832836 1906113237 (Phil Carmody, k=2)
  3. 10143602 5215264825 1739774689 (Phil Carmody, k=16)
  4. 10261707 3968507023 5200832157 (Phil Carmody, k=302)
  5. 10317151 3409666863 3246682653 (Phil Carmody, k=2)
  6. 10337609 8842673724 1146988667 (Dario Alpern, k=1337)
  7. 10412431 7338806140 6686258147 (Phil Carmody, k=147)
  8. 10455011 4240949558 6874364493 (Phil Carmody, k=2)
  9. 10506275 6715478007 6704971733 (Phil Carmody, k=74)
  10. 10618932 7543638821 0390466323 (Phil Carmody, k=131)
  11. 10629795 8063724841 0449647387 (Phil Carmody, k=13)
  12. 10633041 8410418347 0743767533 (Phil Carmody, k=2)
  13. 10654731 6292843672 2222783001 (Phil Carmody, k=500)
  14. 10759805 8083668710 4805582173 (Phil Carmody, k=146)
  15. 10817025 1784181405 4345653187 (Phil Carmody, k=7)
  16. 10908261 8164463575 9385603773 (Phil Carmody, k=14)
  17. 11013401 7863813962 6569617081 (Phil Carmody, k=140)
  18. 11041987 9547832976 7240829397 (Phil Carmody, k=746)
  19. 11152185 9347243296 8401326921 (Phil Carmody, k=140)
  20. 11372207 8445542728 2300292637 (Phil Carmody, k=106)
  21. 11428603 9595209757 6756998003 (Phil Carmody, k=189)
  22. 11445854 5905917082 7306608991 (Phil Carmody, k=5)
  23. 11535070 7321221349 6552560283 (Phil Carmody, k=41)
  24. 11536992 4578069694 1310852319 (Phil Carmody, k=111)
  25. 11565064 7179804819 8696088991 (Phil Carmody, k=245)
  26. 11673207 3992950347 6401880511 (Dario Alpern, k=1885)
  27. 11709234 9898115537 1703591693 (Phil Carmody, k=914)
  28. 11874945 2435570118 7486554277 (Phil Carmody, k=46)
  29. 11961982 5392248056 9310260547 (Phil Carmody, k=107)
  30. 12110639 5304622539 1024730237 (Dario Alpern, k=2762)
  31. 12158939 8816468936 3741186361 (Phil Carmody, k=980)
  32. 12222492 8639022779 6550969373 (Phil Carmody, k=22)
  33. 12227773 3911939626 6075832601 (Dario Alpern, k=1700)
  34. 12247770 3835173055 5863267191 (Phil Carmody, k=555)
  35. 12384077 5996474152 9198193841 (Dario Alpern, k=2120)
  36. 12442862 9090009504 8370506237 (Phil Carmody, k=86)
  37. 12470362 3542534558 6862903693 (Phil Carmody, k=2)
  38. 12619109 3418316001 3405696893 (Phil Carmody, k=174)
  39. 12644667 0820366871 1335519239 (Phil Carmody, k=1)
  40. 12670285 0906213598 8471393729 (Dario Alpern, k=1376)
  41. 12762889 7478343820 3406174991 (Dario Alpern, k=1315)
  42. 12779308 5536581558 4335683439 (Phil Carmody, k=1)
  43. 12787986 8743532385 2030265121 (Dario Alpern, k=1840)
  44. 12870012 4108397376 8875953493 (Phil Carmody, k=2)
  45. 12925372 3869528092 2784213203 (Phil Carmody, k=247)
  46. 12927946 4860638493 2966466507 (Phil Carmody, k=1)
  47. 12932828 7099420957 2152853563 (Phil Carmody, k=539)
  48. 12956697 7527551457 9364122799 (Phil Carmody, k=1)
  49. 13023590 6523865238 6510841649 (Phil Carmody, k=8)
  50. 13043446 9735926672 2615019763 (Dario Alpern, k=2027)
  51. 13046703 6061047552 1619901163 (Phil Carmody, k=17)
  52. 13083631 6059997196 3926919173 (Phil Carmody, k=14)
  53. 13091017 3286253519 5043888563 (Phil Carmody, k=211)
  54. 13122159 2491107186 2367846649 (Phil Carmody, k=36)
  55. 13129750 5675911995 2492776437 (Phil Carmody, k=2)
  56. 13169945 4041238759 6663996307 (Phil Carmody, k=27)
  57. 13234695 4566547645 6731530773 (Phil Carmody, k=54)
  58. 13245920 3864035276 0239905431 (Phil Carmody, k=5)
  59. 13308955 2113875755 0989493067 (Phil Carmody, k=1)
  60. 13322945 3765280322 4669777203 (Phil Carmody, k=49)
  61. 13477377 1196073509 4091193729 (Phil Carmody, k=64)
  62. 13535250 8146463835 5055768757 (Phil Carmody, k=222)
  63. 13670720 0573718012 3616447279 (Phil Carmody, k=1)
  64. 13748910 4901705135 3361928729 (Phil Carmody, k=36)
  65. 13963893 3503744170 4776908991 (Phil Carmody, k=5)
  66. 14019669 3813945325 1238194759 (Phil Carmody, k=19)
  67. 14336854 2650805963 8220466039 (Phil Carmody, k=1)
  68. 14362100 5587040580 5572678481 (Phil Carmody, k=280)
  69. 14486344 3313303643 6401607307 (Phil Carmody, k=61)
  70. 14487670 4835696819 0210530083 (Dario Alpern, k=1709)
  71. 14491827 8625978680 4522393169 (Phil Carmody, k=8)
  72. 14503774 3761374392 2412440439 (Phil Carmody, k=621)
  73. 14509630 2091373440 4076298999 (Phil Carmody, k=203)
  74. 14546606 8040345561 1449365231 (Phil Carmody, k=5)
  75. 14733476 0067650674 5536968133 (Phil Carmody, k=266)
  76. 14852823 7904871947 2964633053 (Phil Carmody, k=2)
  77. 14910272 2407222073 5961706039 (Phil Carmody, k=19)
  78. 15145129 7910426913 0451001067 (Phil Carmody, k=1)
  79. 15192197 3326448180 6592115841 (Phil Carmody, k=320)
  80. 15210305 9985218033 9970007729 (Phil Carmody, k=8)
  81. 15261670 2438553303 7099908039 (Phil Carmody, k=1)
  82. 15394852 1989437669 1328500813 (Phil Carmody, k=2)
  83. 15451348 1230847017 0173587437 (Phil Carmody, k=2)
  84. 15485888 2972260314 2956774427 (Phil Carmody, k=27)
  85. 15610318 6660895126 4196803289 (Phil Carmody, k=28)
  86. 15641462 7973240602 4099288933 (Phil Carmody, k=2)
  87. 15778523 4727497274 7476257563 (Phil Carmody, k=361)
  88. 15826453 1215343439 8674929169 (Phil Carmody, k=8)
  89. 15909869 9125384426 5661457677 (Phil Carmody, k=282)
  90. 16142821 7118387736 6472269147 (Phil Carmody, k=391)
  91. 16157816 5303554154 2376913881 (Phil Carmody, k=260)
  92. 16190882 9081281794 5477711707 (Phil Carmody, k=1)
  93. 16198521 5400418280 7672814093 (Phil Carmody, k=362)
  94. 16238318 7682219118 7665980801 (Dario Alpern, k=1600)
  95. 16468527 4739489872 6219651357 (Phil Carmody, k=2)
  96. 16568394 0002803607 3080696999 (Phil Carmody, k=351)
  97. 16578988 9418500166 8746739027 (Dario Alpern, k=2987)
  98. 16706565 6862820672 5037204881 (Phil Carmody, k=280)
  99. 16810384 9464269139 2102463449 (Phil Carmody, k=4)
  100. 16881091 8350080422 5760479761 (Phil Carmody, k=120)
  101. 16897872 3843972813 6834699907 (Phil Carmody, k=1)
  102. 16965246 1884756676 7770078921 (Phil Carmody, k=340)
  103. 17026380 2825319125 1821561227 (Phil Carmody, k=57)
  104. 17030854 3016334060 5109979483 (Phil Carmody, k=49)
  105. 17040390 8981326176 8964285787 (Phil Carmody, k=1)
  106. 17139820 9776825448 8591590933 (Phil Carmody, k=166)
  107. 17229656 3451744639 4491114397 (Phil Carmody, k=2)
  108. 17272825 2717472825 2717472999 (Phil Carmody, k=1)
  109. 17321804 3483007339 9349099351 (Phil Carmody, k=325)
  110. 17451271 1123136244 3849329253 (Phil Carmody, k=2)
  111. 17483505 9393495015 6847801249 (Phil Carmody, k=208)
  112. 17498798 5415966030 2903563997 (Phil Carmody, k=2)
  113. 17510460 6083675901 4756167667 (Phil Carmody, k=1)
  114. 17584470 6614667106 8500499751 (Phil Carmody, k=125)
  115. 17587082 1889629371 1444942277 (Phil Carmody, k=2)
  116. 17642891 6906990581 0348093801 (Phil Carmody, k=100)
  117. 17664298 7961508886 5778097373 (Phil Carmody, k=2)
  118. 17723295 8989447718 9767936357 (Phil Carmody, k=2)
  119. 17770290 5369785439 3617997963 (Phil Carmody, k=1)
  120. 17794945 1668333546 0759449493 (Phil Carmody, k=414)
  121. 17860636 0948319978 1635445403 (Dario Alpern, k=1027)
  122. 17927552 1523554571 3154515151 (Dario Alpern, k=1075)
  123. 17995046 6204616169 9231934239 (Phil Carmody, k=1)
  124. 18202711 5351108905 4514623587 (Phil Carmody, k=403)
  125. 18315043 1129624837 8631394277 (Phil Carmody, k=2)
  126. 18461193 8581151792 0794326409 (Dario Alpern, k=1868)
  127. 18542521 9012398342 5359303039 (Phil Carmody, k=421)
  128. 18564282 8804374732 4694759799 (Phil Carmody, k=263)
  129. 18590847 5600068174 0030899631 (Phil Carmody, k=35)
  130. 18619981 0538089179 6109957507 (Phil Carmody, k=1)
  131. 18650562 2147791484 6126240881 (Dario Alpern, k=1960)
  132. 18691505 5686813134 6398434551 (Phil Carmody, k=25)
  133. 18691655 9994115816 2029012947 (Phil Carmody, k=11)
  134. 18792666 6990586940 3602437853 (Phil Carmody, k=962)
  135. 18893386 5505526530 3034338399 (Phil Carmody, k=1)
  136. 18909399 8722801115 2126847467 (Phil Carmody, k=1)
  137. 18973207 4551980922 4401271893 (Phil Carmody, k=2)
  138. 19090173 5018908851 4999818679 (Phil Carmody, k=171)
  139. 19273691 2620433360 7971153603 (Phil Carmody, k=39)
  140. 19338091 5142305157 5122967067 (Phil Carmody, k=11)
  141. 19466952 6288729524 6269262573 (Dario Alpern, k=1006)
  142. 19539127 2077128197 1857310111 (Phil Carmody, k=345)
  143. 19544058 4835710684 9699890809 (Phil Carmody, k=4)
  144. 19744853 0271629374 9063765711 (Phil Carmody, k=145)
  145. 20004788 4783681534 9078156973 (Phil Carmody, k=2)
  146. 20019969 0528951781 0753041271 (Phil Carmody, k=245)
  147. 20021921 0940298739 9342709643 (Phil Carmody, k=7)
  148. 20058634 0848760622 2884618397 (Phil Carmody, k=2)
  149. 20191450 6446165179 8022798479 (Phil Carmody, k=1)
  150. 20448061 4668449367 5974862601 (Phil Carmody, k=100)
  151. 20600725 4173568045 7541948591 (Phil Carmody, k=5)
  152. 21006533 4237627104 8802134129 (Phil Carmody, k=8)
  153. 21078808 3417727267 3863412773 (Phil Carmody, k=2)
  154. 21365432 1197485591 6906139929 (Phil Carmody, k=308)
  155. 21381854 3009789025 6157199599 (Phil Carmody, k=11)
  156. 21446882 6852393859 7028598283 (Phil Carmody, k=19)
  157. 21465370 0622054059 9746762769 (Phil Carmody, k=8)
  158. 21474449 5393251748 0270216093 (Phil Carmody, k=2)
  159. 21555155 3582437753 4947021213 (Phil Carmody, k=34)
  160. 21623989 9770625537 3214348083 (Phil Carmody, k=39)
  161. 21667959 0626871509 0605203551 (Phil Carmody, k=25)
  162. 21764742 3349738494 9748378573 (Phil Carmody, k=482)
  163. 22062114 7611421428 8504355079 (Phil Carmody, k=1)
  164. 22191329 2133042703 4319267077 (Phil Carmody, k=42)
  165. 22352558 6779464135 6321147199 (Phil Carmody, k=1)
  166. 22397638 1023454160 4201746133 (Phil Carmody, k=2)
  167. 22400969 1947123431 6281158107 (Phil Carmody, k=1)
  168. 22452345 4527151029 0978851911 (Phil Carmody, k=35)
  169. 22503201 4012659198 7556945041 (Phil Carmody, k=40)
  170. 22588599 2609389662 5714371609 (Phil Carmody, k=188)
  171. 22649179 7650186277 9060912653 (Phil Carmody, k=2)
  172. 22654255 2616574309 9378330839 (Phil Carmody, k=91)
  173. 22670023 9376541098 9723007373 (Phil Carmody, k=2)
  174. 22757801 0958098189 6220197839 (Phil Carmody, k=1)
  175. 22961920 5803586390 9822592759 (Phil Carmody, k=1)
  176. 23028739 6225674793 5452813483 (Phil Carmody, k=1)
  177. 23119764 5169414271 6972287613 (Phil Carmody, k=2)
  178. 23369438 4509147233 7372298307 (Phil Carmody, k=1)
  179. 23410587 4395549014 7639465161 (Phil Carmody, k=380)
  180. 23420723 5882938747 2887328203 (Dario Alpern, k=2269)
  181. 23586084 6816635236 9195352653 (Phil Carmody, k=22)
  182. 23660128 5222207538 8807865147 (Phil Carmody, k=47)
  183. 23681012 8848491400 7491463951 (Phil Carmody, k=775)
  184. 23798498 0097768623 9878432879 (Phil Carmody, k=61)
  185. 23883350 0828637716 3624900827 (Phil Carmody, k=1)
  186. 24023155 7588008929 4177991479 (Phil Carmody, k=1)
  187. 24114092 1949071859 0311408923 (Phil Carmody, k=1)
  188. 24349952 0834747143 6361075107 (Phil Carmody, k=1)
  189. 24422319 1970716959 6344344117 (Phil Carmody, k=2)
  190. 24494090 9327652074 8234526677 (Phil Carmody, k=2)
  191. 24642566 8780058502 6597255613 (Phil Carmody, k=634)
  192. 24653488 9893600107 2312640293 (Phil Carmody, k=2)
  193. 24873038 9452932977 6341361267 (Phil Carmody, k=23)
  194. 25197140 9457417620 9432220481 (Phil Carmody, k=160)
  195. 25463224 1634650209 5582640813 (Phil Carmody, k=2)
  196. 25511192 8931706628 9224600361 (Phil Carmody, k=20)
  197. 25660344 8873165658 3841246597 (Phil Carmody, k=2)
  198. 25674107 0532624813 1258150933 (Phil Carmody, k=2)
  199. 25688982 3222414624 8723216107 (Phil Carmody, k=1)
  200. 25790247 5449898857 4924501203 (Phil Carmody, k=707)
  201. 25920832 5012722260 0377933877 (Phil Carmody, k=26)
  202. 25924963 3081358429 4435940363 (Phil Carmody, k=17)
  203. 25942923 7161344243 9121425123 (Phil Carmody, k=1)
  204. 26114497 2444665798 8119706483 (Phil Carmody, k=9)
  205. 26176906 6684704366 5773993879 (Phil Carmody, k=1)
  206. 26184080 6108525243 2295275363 (Phil Carmody, k=19)
  207. 26313992 7176654978 8149210787 (Phil Carmody, k=481)
  208. 26709534 6115108192 3707087803 (Phil Carmody, k=1)
  209. 27571216 2256417678 3163967907 (Phil Carmody, k=1)
  210. 27582960 2724792258 9033842963 (Phil Carmody, k=1)
  211. 27598028 4969175903 7535889631 (Phil Carmody, k=265)
  212. 27648801 4395217184 2052558191 (Phil Carmody, k=5)
  213. 27732394 8763715874 0935926999 (Phil Carmody, k=1)
  214. 27833121 2986468510 6734404947 (Phil Carmody, k=371)
  215. 27835676 3567635676 3567635399 (Phil Carmody, k=61)
  216. 27839589 4776850162 9408068121 (Phil Carmody, k=540)
  217. 28062312 1824877291 8147060397 (Phil Carmody, k=2)
  218. 28160543 8049701713 6524788841 (Phil Carmody, k=20)
  219. 28268716 3097602981 3887135409 (Phil Carmody, k=8)
  220. 28711551 8231259254 5826121667 (Phil Carmody, k=91)
  221. 29034739 4412473222 9293583839 (Phil Carmody, k=1)
  222. 29108158 6594060593 2144582563 (Phil Carmody, k=67)
  223. 29116711 9240881320 6024910643 (Phil Carmody, k=609)
  224. 29438014 6145699422 6404315631 (Phil Carmody, k=5)
  225. 29452680 3965692685 8291750231 (Phil Carmody, k=5)
  226. 30001925 8220165721 0234680839 (Phil Carmody, k=23)
  227. 30005380 8521222787 3936946951 (Phil Carmody, k=25)
  228. 30138602 0693309733 3158326277 (Phil Carmody, k=358)
  229. 30309232 2098124398 9653383361 (Phil Carmody, k=160)
  230. 30401106 4518402176 9641884079 (Phil Carmody, k=21)
  231. 30485408 8341661119 6380701001 (Phil Carmody, k=500)
  232. 30689731 7923205305 9549129933 (Phil Carmody, k=434)
  233. 30872341 2200575861 2169703521 (Phil Carmody, k=240)
  234. 30951454 0229000589 9740047957 (Phil Carmody, k=2)
  235. 31012432 4202647153 5475951449 (Phil Carmody, k=28)
  236. 31036653 3864541832 6693227403 (Phil Carmody, k=11)
  237. 31179895 4440734477 1173802519 (Dario Alpern, k=1973)
  238. 31279241 6837343345 3212678227 (Phil Carmody, k=1)
  239. 31302746 8945661931 6196916917 (Phil Carmody, k=26)
  240. 31501202 0834633564 1005720317 (Phil Carmody, k=2)
  241. 31844466 7771516955 1499867769 (Phil Carmody, k=4)
  242. 32243311 9909268908 9037216963 (Phil Carmody, k=1)
  243. 32548347 4050437809 6683034639 (Phil Carmody, k=13)
  244. 32569284 2447400993 4489726693 (Phil Carmody, k=2)
  245. 32591245 1310755832 4518833317 (Phil Carmody, k=362)
  246. 32921378 9616203481 8319528787 (Phil Carmody, k=161)
  247. 33159943 3350612734 3094351973 (Phil Carmody, k=2)
  248. 33463517 3897036666 5583185439 (Phil Carmody, k=439)
  249. 33533547 6374637362 3101233997 (Phil Carmody, k=2)
  250. 33534784 9609033488 6011533723 (Phil Carmody, k=149)
  251. 33597397 1152856983 1119259587 (Phil Carmody, k=1)
  252. 33813583 9142962266 7029940763 (Phil Carmody, k=1)
  253. 34088502 9153732333 7539228253 (Phil Carmody, k=2)
  254. 34716599 9675308654 9653824773 (Phil Carmody, k=2)
  255. 34725824 6464646464 6429920641 (Phil Carmody, k=320)
  256. 34952653 4223171943 1811981667 (Phil Carmody, k=1)
  257. 34982511 0027362537 0930114729 (Phil Carmody, k=4)
  258. 35260692 4647136789 1438427919 (Phil Carmody, k=1)
  259. 35547812 8057592085 6779373551 (Phil Carmody, k=25)
  260. 35554101 4165812111 1837063919 (Phil Carmody, k=19)
  261. 35557725 7164513106 4064827089 (Phil Carmody, k=8)
  262. 35783925 4618890752 2456841893 (Phil Carmody, k=2)
  263. 36451341 7251315079 3746916831 (Phil Carmody, k=5)
  264. 36551754 4887569495 9832297853 (Phil Carmody, k=2)
  265. 36656192 5954726823 6674443643 (Phil Carmody, k=79)
  266. 36780007 5226339370 0724347707 (Phil Carmody, k=1)
  267. 36843855 9583008246 0562826351 (Phil Carmody, k=175)
  268. 37018632 7628733416 4692676839 (Dario Alpern, k=1909)
  269. 37390413 7138254710 1250888283 (Phil Carmody, k=1)
  270. 37411087 0627603676 0588711077 (Phil Carmody, k=2)
  271. 37529203 6843749748 0170191791 (Phil Carmody, k=455)
  272. 37540351 3650072777 6003004871 (Phil Carmody, k=85)
  273. 37723652 0094781193 8670918929 (Phil Carmody, k=56)
  274. 37730957 9179929137 6765960557 (Phil Carmody, k=2)
  275. 37816669 5497005261 7201941801 (Phil Carmody, k=100)
  276. 37890715 3021812915 1993823191 (Phil Carmody, k=455)
  277. 38129861 9602908138 3056659801 (Phil Carmody, k=100)
  278. 38249286 2833925384 2552806853 (Phil Carmody, k=2)
  279. 38606513 2738003408 4744748199 (Phil Carmody, k=23)
  280. 38868886 4389069942 3147337521 (Phil Carmody, k=40)
  281. 38942592 5533870775 7346661107 (Phil Carmody, k=1)
  282. 39412254 4103901165 0203102773 (Phil Carmody, k=2)
  283. 39618026 0544060852 5064977609 (Phil Carmody, k=4)
  284. 39634631 8444425064 8670411849 (Phil Carmody, k=148)
  285. 39840608 5998796690 8726020959 (Phil Carmody, k=1)
  286. 40209701 3541842407 7489575933 (Phil Carmody, k=2)
  287. 40381266 8885999172 5939407489 (Phil Carmody, k=576)
  288. 40381822 3259972051 3268856163 (Phil Carmody, k=1)
  289. 40433625 2664270911 1449027911 (Phil Carmody, k=35)
  290. 40457277 0695942392 5577698199 (Phil Carmody, k=463)
  291. 40517726 5403999494 5363481769 (Phil Carmody, k=124)
  292. 40607452 4035740801 3125035289 (Phil Carmody, k=4)
  293. 40885685 9729250351 8766449329 (Phil Carmody, k=776)
  294. 41279373 1664276982 7281807277 (Phil Carmody, k=2)
  295. 41362866 6970233995 1617203843 (Phil Carmody, k=547)
  296. 41444014 4394348573 5903314049 (Phil Carmody, k=64)
  297. 41501534 0808826388 1750098083 (Phil Carmody, k=377)
  298. 41661283 9809894915 4797590293 (Phil Carmody, k=2)
  299. 41892517 8931026934 0275273031 (Phil Carmody, k=5)
  300. 42249541 3526942728 6445979151 (Phil Carmody, k=25)
  301. 42354449 1625783830 0027427693 (Phil Carmody, k=734)
  302. 42526584 4966631850 4859140249 (Phil Carmody, k=308)
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  448. 93300752 1283569271 3269476441 (Dario Alpern, k=1220)
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