Known 27-digit prime factors of Googolplex - 10

  1. Alpertron
  2. Number Theory
  3. Known 27-digit prime factors of Googolplex − 10

This is a list of known 27-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. 1001528 3927227394 3926225867 (Phil Carmody, k=1)
  2. 1005850 6860418972 6859413123 (Phil Carmody, k=137)
  3. 1013173 4648661138 3532143871 (Phil Carmody, k=65)
  4. 1022655 9938644486 7002929557 (Phil Carmody, k=178)
  5. 1031765 1785548371 1388477003 (Phil Carmody, k=31)
  6. 1034733 1451288549 0894165449 (Phil Carmody, k=356)
  7. 1048651 8000080239 1090122751 (Phil Carmody, k=125)
  8. 1060024 9879848023 1523378723 (Phil Carmody, k=17)
  9. 1062238 8427847914 8426785677 (Phil Carmody, k=2)
  10. 1062334 1462861038 5144622837 (Phil Carmody, k=2)
  11. 1065971 0106495481 7378762209 (Phil Carmody, k=16)
  12. 1066617 7871535268 7847704597 (Phil Carmody, k=758)
  13. 1069881 1088308648 8470737213 (Phil Carmody, k=2)
  14. 1071206 1287885326 0890774517 (Dario Alpern, k=1706)
  15. 1077934 2682385812 7904297043 (Dario Alpern, k=2287)
  16. 1080187 0682582665 6028037133 (Phil Carmody, k=2)
  17. 1080431 7883783271 6316490213 (Phil Carmody, k=2)
  18. 1083192 3812942791 4408047147 (Phil Carmody, k=107)
  19. 1084239 2638079229 4027503199 (Phil Carmody, k=83)
  20. 1085770 4322293430 7606441231 (Phil Carmody, k=5)
  21. 1111006 8262952281 3149256951 (Phil Carmody, k=525)
  22. 1124240 3487777740 4162594991 (Phil Carmody, k=105)
  23. 1130046 4603448611 2824265613 (Phil Carmody, k=34)
  24. 1132491 2328628776 4300005031 (Phil Carmody, k=5)
  25. 1151256 5457828160 7286948043 (Phil Carmody, k=29)
  26. 1155471 5151573082 1182611907 (Phil Carmody, k=1)
  27. 1178917 5243834034 5115572373 (Phil Carmody, k=114)
  28. 1182650 4426347842 2066934453 (Phil Carmody, k=314)
  29. 1192396 1675016965 1128780797 (Phil Carmody, k=2)
  30. 1200024 0002400024 0002400013 (Phil Carmody, k=2)
  31. 1203869 1970717865 4694744933 (Phil Carmody, k=2)
  32. 1212439 2638592272 5112627359 (Phil Carmody, k=1)
  33. 1221018 4313926867 8256914199 (Phil Carmody, k=1)
  34. 1225434 7645050707 9326993591 (Phil Carmody, k=5)
  35. 1228338 0831911318 0196670643 (Phil Carmody, k=1)
  36. 1232851 6229613483 5239959283 (Phil Carmody, k=7)
  37. 1238792 4571383786 2094044089 (Phil Carmody, k=148)
  38. 1244968 6296011430 8771695963 (Phil Carmody, k=9)
  39. 1278302 4508499630 4507221329 (Phil Carmody, k=8)
  40. 1282448 1614268093 6595831573 (Phil Carmody, k=2)
  41. 1286555 5263301043 5262014489 (Phil Carmody, k=356)
  42. 1295230 0714210997 3829948319 (Phil Carmody, k=1)
  43. 1302610 9396287863 9290494997 (Phil Carmody, k=2)
  44. 1318179 0111738740 5097724307 (Phil Carmody, k=851)
  45. 1342325 1469563154 1256367249 (Phil Carmody, k=936)
  46. 1374878 6857018379 4959788561 (Phil Carmody, k=120)
  47. 1392069 7621605575 0338536517 (Phil Carmody, k=166)
  48. 1396263 6587405253 6586008991 (Phil Carmody, k=5)
  49. 1397793 3304635352 4875785037 (Phil Carmody, k=122)
  50. 1398411 6817927083 1621946467 (Phil Carmody, k=1)
  51. 1408701 9533799145 5741544921 (Dario Alpern, k=1340)
  52. 1424686 3718911172 1847276759 (Phil Carmody, k=61)
  53. 1435335 5469958632 8591929627 (Phil Carmody, k=1)
  54. 1438033 0030767051 8991612427 (Phil Carmody, k=277)
  55. 1440045 9812172464 9604366481 (Phil Carmody, k=760)
  56. 1452891 1076123489 1807345991 (Phil Carmody, k=455)
  57. 1457981 7881693247 9461709427 (Phil Carmody, k=401)
  58. 1459659 0628555335 0501596323 (Phil Carmody, k=7)
  59. 1463476 5215309364 5213845889 (Phil Carmody, k=64)
  60. 1482814 4988323224 5416698027 (Phil Carmody, k=1)
  61. 1486255 2050229413 1850723357 (Phil Carmody, k=2)
  62. 1524997 8416550495 8496231787 (Phil Carmody, k=1)
  63. 1531514 8970403027 7285703197 (Phil Carmody, k=2)
  64. 1555015 7088070553 5574126347 (Phil Carmody, k=77)
  65. 1557108 4284480314 7451240039 (Phil Carmody, k=1)
  66. 1586479 1920285113 1259029933 (Phil Carmody, k=2)
  67. 1593294 0579791307 9418615399 (Phil Carmody, k=1)
  68. 1607263 5947674099 6079109289 (Dario Alpern, k=2276)
  69. 1615034 6145940931 0289367243 (Phil Carmody, k=7)
  70. 1635645 9442995966 1368376519 (Phil Carmody, k=13)
  71. 1637660 9131200928 6499336797 (Phil Carmody, k=2)
  72. 1639158 3549135180 6481555597 (Phil Carmody, k=2)
  73. 1650229 2890360774 6429519359 (Phil Carmody, k=253)
  74. 1653388 0397910764 1635841083 (Phil Carmody, k=1)
  75. 1696978 6927501447 9737468241 (Phil Carmody, k=40)
  76. 1710667 1672834266 0719415043 (Phil Carmody, k=1)
  77. 1742935 8101360303 5992155809 (Phil Carmody, k=496)
  78. 1759681 1782574134 7229914173 (Phil Carmody, k=2)
  79. 1775222 7899364176 5771426213 (Phil Carmody, k=2)
  80. 1794953 2417422772 9101197479 (Phil Carmody, k=13)
  81. 1836843 3413959568 4507424357 (Phil Carmody, k=2)
  82. 1876565 4758749892 0217254507 (Dario Alpern, k=2023)
  83. 1898307 2635096371 0511190077 (Phil Carmody, k=602)
  84. 1916240 6741118016 2920735773 (Phil Carmody, k=2)
  85. 1920169 2016920169 2016920151 (Phil Carmody, k=425)
  86. 1921182 4036730641 9030573369 (Phil Carmody, k=268)
  87. 1929600 7616943817 9553598307 (Phil Carmody, k=1)
  88. 1931707 3170731707 3170731689 (Phil Carmody, k=36)
  89. 1937157 3196330649 5953023707 (Phil Carmody, k=7)
  90. 1946909 7978342925 7340892747 (Phil Carmody, k=17)
  91. 1956807 4864228419 4862271613 (Phil Carmody, k=2)
  92. 1961104 1319949966 3564040071 (Dario Alpern, k=1065)
  93. 1990126 2125127186 4328351467 (Phil Carmody, k=1)
  94. 2007170 7755210342 7753203173 (Phil Carmody, k=314)
  95. 2008507 6231209577 4986294111 (Phil Carmody, k=245)
  96. 2027931 1823480769 7102398227 (Phil Carmody, k=103)
  97. 2032026 9836092315 0899883039 (Phil Carmody, k=1)
  98. 2047321 2833962827 2108676281 (Phil Carmody, k=740)
  99. 2050841 8399099719 1031897791 (Phil Carmody, k=815)
  100. 2071321 2208139092 7820673831 (Phil Carmody, k=5)
  101. 2108032 7789750503 6399382479 (Phil Carmody, k=1)
  102. 2113644 4628426414 2114072843 (Phil Carmody, k=7)
  103. 2127540 2405256326 6686589893 (Phil Carmody, k=2)
  104. 2145750 8165320085 3024946089 (Phil Carmody, k=4)
  105. 2149786 6495673650 0136097449 (Phil Carmody, k=4)
  106. 2151003 1744390381 0223901157 (Phil Carmody, k=2)
  107. 2161631 7397906469 5814046991 (Phil Carmody, k=5)
  108. 2181481 1406596792 3934902437 (Phil Carmody, k=2)
  109. 2186554 6861531384 6859344831 (Phil Carmody, k=85)
  110. 2228852 0918498554 6460824159 (Dario Alpern, k=1181)
  111. 2230353 0226486063 2402473533 (Phil Carmody, k=2)
  112. 2232441 1408984018 8634474351 (Dario Alpern, k=1975)
  113. 2237018 7774818603 3179079533 (Phil Carmody, k=2)
  114. 2266532 8008074500 9282974923 (Phil Carmody, k=1)
  115. 2322091 7550597759 5780413483 (Phil Carmody, k=7)
  116. 2328831 0836751914 5395281599 (Phil Carmody, k=1)
  117. 2334745 3436807095 3434472351 (Phil Carmody, k=75)
  118. 2336013 9147612507 9386656357 (Phil Carmody, k=2)
  119. 2342744 8960526548 3632004759 (Phil Carmody, k=1)
  120. 2409441 3265837615 0908440911 (Phil Carmody, k=785)
  121. 2410767 1402700607 1400289841 (Dario Alpern, k=1480)
  122. 2416877 4390727423 1460514237 (Phil Carmody, k=42)
  123. 2448780 4878048780 4878048757 (Phil Carmody, k=2)
  124. 2450456 2230640536 1041525241 (Phil Carmody, k=380)
  125. 2498706 9066956105 3237827111 (Phil Carmody, k=195)
  126. 2516868 6468773050 1585887321 (Phil Carmody, k=20)
  127. 2526602 7715885977 1528992319 (Phil Carmody, k=1)
  128. 2547606 4987023463 3563637643 (Phil Carmody, k=961)
  129. 2559881 1264299782 0053726271 (Phil Carmody, k=695)
  130. 2587890 7373977162 3587147533 (Dario Alpern, k=2086)
  131. 2637146 0638736725 4841126409 (Phil Carmody, k=548)
  132. 2641911 9949452037 0344699929 (Phil Carmody, k=4)
  133. 2645096 8907992653 3150141643 (Phil Carmody, k=29)
  134. 2673032 4396336649 0482339133 (Phil Carmody, k=2)
  135. 2711783 0594217104 1487396027 (Dario Alpern, k=2477)
  136. 2713798 3230680398 0146712333 (Phil Carmody, k=14)
  137. 2767608 7705849186 3998816329 (Phil Carmody, k=124)
  138. 2767777 1270096063 9795992507 (Phil Carmody, k=1)
  139. 2783520 5626243158 8591058427 (Phil Carmody, k=47)
  140. 2797617 8002451694 0501772123 (Phil Carmody, k=247)
  141. 2830828 8839327483 8672098649 (Phil Carmody, k=316)
  142. 2850720 9113338715 7229299877 (Phil Carmody, k=2)
  143. 2892134 3574713904 0521144041 (Phil Carmody, k=140)
  144. 2901229 1361183655 7945608213 (Phil Carmody, k=34)
  145. 2904613 1010507402 0546072391 (Phil Carmody, k=105)
  146. 2921929 5485324368 6868904547 (Phil Carmody, k=1)
  147. 2938867 2914976041 7126934237 (Phil Carmody, k=166)
  148. 2945018 8900411445 1297918277 (Phil Carmody, k=2)
  149. 2973598 5666470022 2167308907 (Phil Carmody, k=821)
  150. 2985376 1906873614 1903888239 (Phil Carmody, k=531)
  151. 2990865 2886083337 6966684679 (Phil Carmody, k=1)
  152. 3049404 4601335686 4812687961 (Phil Carmody, k=20)
  153. 3073993 6124898473 1640914031 (Phil Carmody, k=5)
  154. 3075825 0276657103 6986667009 (Dario Alpern, k=2048)
  155. 3084555 2158218271 3116444397 (Phil Carmody, k=2)
  156. 3100445 6621691977 1907722253 (Phil Carmody, k=34)
  157. 3106064 9625694276 7444370391 (Phil Carmody, k=5)
  158. 3138714 5231180341 0654567471 (Phil Carmody, k=65)
  159. 3149453 4564042798 5654209963 (Phil Carmody, k=399)
  160. 3175369 5664157374 3767272911 (Dario Alpern, k=1045)
  161. 3230491 2703652325 8202208093 (Phil Carmody, k=334)
  162. 3239444 4858008767 1773718773 (Phil Carmody, k=122)
  163. 3255277 1294548592 4052749637 (Phil Carmody, k=2)
  164. 3255897 6630966309 6627710413 (Phil Carmody, k=2)
  165. 3306358 1401188467 0129878721 (Phil Carmody, k=160)
  166. 3317564 2300097926 7684284387 (Phil Carmody, k=1)
  167. 3331816 6790725236 4665628351 (Phil Carmody, k=75)
  168. 3352249 9752274231 0000471081 (Phil Carmody, k=460)
  169. 3381958 9745446300 2112150693 (Phil Carmody, k=14)
  170. 3383543 8494780914 8222702751 (Phil Carmody, k=125)
  171. 3417290 4369998948 3214262357 (Phil Carmody, k=166)
  172. 3439386 4815274202 3184602809 (Phil Carmody, k=148)
  173. 3454352 8900803517 7421003601 (Phil Carmody, k=200)
  174. 3465739 3085508935 2409916679 (Phil Carmody, k=1)
  175. 3482095 2572711181 7974041519 (Phil Carmody, k=59)
  176. 3522137 2525862735 2522340599 (Phil Carmody, k=551)
  177. 3538363 8730083108 7372873561 (Phil Carmody, k=20)
  178. 3555014 2333063311 9866603707 (Phil Carmody, k=117)
  179. 3576212 0053163617 0238799493 (Phil Carmody, k=2)
  180. 3611855 4109114838 2638105799 (Phil Carmody, k=1)
  181. 3617396 7668149900 5218895679 (Phil Carmody, k=21)
  182. 3659404 6603976597 6612759839 (Phil Carmody, k=1)
  183. 3693736 8855345413 7807627517 (Phil Carmody, k=26)
  184. 3703880 3472794706 2383693027 (Phil Carmody, k=11)
  185. 3712609 2284069858 1316153573 (Phil Carmody, k=2)
  186. 3743930 1580363383 3947737369 (Phil Carmody, k=156)
  187. 3763739 0543978360 5920050827 (Phil Carmody, k=1)
  188. 3807239 5927704038 4068488723 (Dario Alpern, k=1049)
  189. 3816142 0904861757 4961343889 (Phil Carmody, k=56)
  190. 3844978 3437611904 4221819751 (Dario Alpern, k=1625)
  191. 3853294 0861569045 2828714603 (Phil Carmody, k=1)
  192. 3855352 7093182933 9842395603 (Phil Carmody, k=91)
  193. 3870725 9116054198 8354822551 (Phil Carmody, k=25)
  194. 3892966 4091649276 2548880203 (Phil Carmody, k=41)
  195. 3899520 9008372749 5759596437 (Phil Carmody, k=2)
  196. 3934728 1395953106 5340844759 (Phil Carmody, k=211)
  197. 3937976 1974807729 9473055437 (Phil Carmody, k=2)
  198. 3979350 8893044402 8889065053 (Phil Carmody, k=2)
  199. 3980643 4728385531 4062903597 (Phil Carmody, k=166)
  200. 3992605 3918173598 4289215911 (Phil Carmody, k=35)
  201. 3993924 3526532046 2928478717 (Phil Carmody, k=886)
  202. 4005353 8956792559 2118559587 (Phil Carmody, k=297)
  203. 4030638 2170290520 1860119187 (Phil Carmody, k=1)
  204. 4049602 6892272927 3287545551 (Phil Carmody, k=175)
  205. 4064920 6257887925 9712649401 (Dario Alpern, k=1300)
  206. 4076384 6776127889 6667561249 (Phil Carmody, k=16)
  207. 4096537 5098020573 3074682951 (Phil Carmody, k=25)
  208. 4099549 0045099549 0045099591 (Phil Carmody, k=5)
  209. 4134853 0247440722 6333790279 (Phil Carmody, k=1)
  210. 4140167 9021781967 1248963999 (Dario Alpern, k=1013)
  211. 4152467 8538305513 5766685111 (Phil Carmody, k=55)
  212. 4156060 0603346151 1316267441 (Phil Carmody, k=520)
  213. 4159833 6504670578 7892213599 (Phil Carmody, k=1)
  214. 4171786 6995129827 8872146161 (Phil Carmody, k=120)
  215. 4174781 1699092084 1872833147 (Phil Carmody, k=1)
  216. 4223612 7837924808 0029159911 (Phil Carmody, k=5)
  217. 4271832 9867255977 7159512089 (Phil Carmody, k=508)
  218. 4284735 5936268161 1101117521 (Phil Carmody, k=40)
  219. 4336066 2190583349 6984326923 (Phil Carmody, k=457)
  220. 4336594 2533051846 8007917013 (Phil Carmody, k=326)
  221. 4346357 9079673588 3517606071 (Phil Carmody, k=695)
  222. 4373767 0689402256 3237512307 (Phil Carmody, k=91)
  223. 4376583 5225303998 4164258813 (Phil Carmody, k=2)
  224. 4428101 2584845444 3588607121 (Phil Carmody, k=40)
  225. 4455407 7405673913 7401218507 (Phil Carmody, k=17)
  226. 4467040 7138432778 3623807849 (Phil Carmody, k=4)
  227. 4574590 9649858297 9505458711 (Phil Carmody, k=5)
  228. 4594685 4313017949 6251671917 (Phil Carmody, k=2)
  229. 4644546 5725473538 6619998831 (Phil Carmody, k=5)
  230. 4648734 5495355241 0514756173 (Dario Alpern, k=1894)
  231. 4687577 8204866864 0674056723 (Dario Alpern, k=2149)
  232. 4716955 3206132186 5713587631 (Phil Carmody, k=5)
  233. 4743264 5356033758 3569112277 (Phil Carmody, k=2)
  234. 4788561 9821433739 6680553591 (Phil Carmody, k=5)
  235. 4805374 4481956479 4537628391 (Phil Carmody, k=5)
  236. 4813486 8828046784 1750687769 (Phil Carmody, k=796)
  237. 4844859 3010402507 0489195573 (Phil Carmody, k=2)
  238. 4885700 4654770957 9652660121 (Phil Carmody, k=20)
  239. 4949730 9356273916 9351324187 (Phil Carmody, k=1)
  240. 4968929 2648359360 4518388883 (Phil Carmody, k=1)
  241. 4981560 4556809209 5898904747 (Phil Carmody, k=1)
  242. 4984429 8451577930 0990541203 (Phil Carmody, k=1)
  243. 5005725 0084032288 3924102119 (Phil Carmody, k=1)
  244. 5035632 1661478705 4531923679 (Phil Carmody, k=1)
  245. 5113061 7067502229 3230415013 (Phil Carmody, k=2)
  246. 5115376 7001707543 3355091333 (Phil Carmody, k=2)
  247. 5129434 3754863082 5769357323 (Dario Alpern, k=1307)
  248. 5131632 3512284232 6970066529 (Dario Alpern, k=2608)
  249. 5173339 0862641751 7194102077 (Phil Carmody, k=2)
  250. 5205087 6270463171 1901322603 (Dario Alpern, k=1369)
  251. 5210091 1726504383 1721294293 (Phil Carmody, k=2)
  252. 5220287 0661164974 1769996403 (Phil Carmody, k=7)
  253. 5225303 6144248571 1980607427 (Phil Carmody, k=1)
  254. 5261470 7155940148 8536817293 (Phil Carmody, k=2)
  255. 5279478 7876036676 2536913489 (Phil Carmody, k=8)
  256. 5288940 8894088940 8894088889 (Phil Carmody, k=4)
  257. 5357040 2300965667 8339916359 (Phil Carmody, k=703)
  258. 5372703 9605470110 4147145081 (Phil Carmody, k=140)
  259. 5438601 7710921194 0706722641 (Phil Carmody, k=40)
  260. 5535554 2540192127 9591985013 (Phil Carmody, k=2)
  261. 5549655 7733863768 8232612711 (Phil Carmody, k=235)
  262. 5559639 6794770246 6604592163 (Phil Carmody, k=439)
  263. 5564514 0229966480 9287655147 (Phil Carmody, k=1)
  264. 5592546 9437046508 2947698831 (Phil Carmody, k=5)
  265. 5625237 8796345369 8790720133 (Phil Carmody, k=2)
  266. 5687134 8515880608 2402305133 (Phil Carmody, k=2)
  267. 5690593 6966554195 6606163723 (Phil Carmody, k=107)
  268. 5772459 5757865204 5566739277 (Dario Alpern, k=1442)
  269. 5831964 2513527428 4655712359 (Phil Carmody, k=419)
  270. 5832440 0359741263 9100415399 (Phil Carmody, k=49)
  271. 5835828 0894874908 8611811359 (Phil Carmody, k=523)
  272. 5846758 3758972105 4932948667 (Dario Alpern, k=2101)
  273. 5863148 8624240639 4938401991 (Phil Carmody, k=705)
  274. 5886499 3574555389 7099064907 (Phil Carmody, k=17)
  275. 5898415 6060067690 2437162277 (Phil Carmody, k=326)
  276. 5952647 9332603177 2094604603 (Phil Carmody, k=1)
  277. 5994061 1600610188 8393395751 (Dario Alpern, k=2125)
  278. 6041831 7868619038 0815035119 (Phil Carmody, k=103)
  279. 6117985 9826606837 1277164079 (Phil Carmody, k=1)
  280. 6277102 0599211572 6731548333 (Phil Carmody, k=14)
  281. 6292549 4709712971 7612203253 (Phil Carmody, k=2)
  282. 6305538 4307224489 9228905397 (Phil Carmody, k=22)
  283. 6401390 9432450196 0242426123 (Phil Carmody, k=1)
  284. 6431811 3918814975 7278719799 (Phil Carmody, k=521)
  285. 6462704 0687490188 7657257893 (Phil Carmody, k=2)
  286. 6570665 9892100219 6964846117 (Phil Carmody, k=518)
  287. 6576570 5986110507 0084929707 (Phil Carmody, k=1)
  288. 6579193 0749806368 0751699359 (Phil Carmody, k=1)
  289. 6583400 8671865472 5803339643 (Phil Carmody, k=7)
  290. 6588154 5207481464 6267365161 (Dario Alpern, k=2060)
  291. 6614995 9463210815 6262146409 (Phil Carmody, k=964)
  292. 6642331 6797520930 1719984831 (Phil Carmody, k=5)
  293. 6673189 5525060246 5833652911 (Phil Carmody, k=245)
  294. 6683124 9647217495 6541085483 (Phil Carmody, k=691)
  295. 6709090 9090909090 9090909159 (Phil Carmody, k=1)
  296. 6713805 4408724102 3250048637 (Phil Carmody, k=2)
  297. 6775117 2257963262 8825358037 (Phil Carmody, k=162)
  298. 6801252 7074738818 4512539507 (Phil Carmody, k=107)
  299. 6861404 6196653094 2427415453 (Phil Carmody, k=2)
  300. 6872763 7056380864 2936746373 (Phil Carmody, k=54)
  301. 6919104 4445585584 3455847123 (Phil Carmody, k=17)
  302. 6931388 7621369282 2485752643 (Phil Carmody, k=7)
  303. 6942441 3306162913 1929692529 (Phil Carmody, k=56)
  304. 6947887 4080789978 0831928437 (Phil Carmody, k=2)
  305. 6972329 7550019637 8533146319 (Dario Alpern, k=2863)
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  361. 9959009 8808606344 4502395129 (Phil Carmody, k=4)