Known 30-digit prime factors of Googolplex - 10

  1. Alpertron
  2. Number Theory
  3. Known 30-digit prime factors of Googolplex − 10

This is a list of known 30-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. 1000210889 8911010889 8911020893 (Phil Carmody, k=2)
  2. 1003239840 6374501992 0318735133 (Phil Carmody, k=46)
  3. 1007761802 5936120559 3322193027 (Phil Carmody, k=7)
  4. 1008341475 5606109661 8692656637 (Phil Carmody, k=238)
  5. 1014905071 9630996309 8616091239 (Phil Carmody, k=1)
  6. 1025763800 6666666666 5640902867 (Phil Carmody, k=1)
  7. 1032717469 1390677822 2502733431 (Phil Carmody, k=5)
  8. 1033838674 2052552061 4301502053 (Phil Carmody, k=2)
  9. 1034917202 3879172391 4151739511 (Phil Carmody, k=5)
  10. 1043790826 0128346809 3780969427 (Phil Carmody, k=87)
  11. 1044879766 2063220005 2501477467 (Phil Carmody, k=1)
  12. 1046578259 4711856651 0302171151 (Phil Carmody, k=25)
  13. 1054007516 5141203745 8563788627 (Dario Alpern, k=1241)
  14. 1056114380 9964746619 7725135551 (Phil Carmody, k=25)
  15. 1056253354 2797287704 0590903387 (Phil Carmody, k=293)
  16. 1058146274 5038617080 2533455321 (Phil Carmody, k=740)
  17. 1064240174 1093412513 4205983677 (Phil Carmody, k=2)
  18. 1069818544 5834721218 9554289307 (Phil Carmody, k=1)
  19. 1074772248 9588966012 9445462831 (Phil Carmody, k=5)
  20. 1084670423 4138710954 0159092441 (Phil Carmody, k=340)
  21. 1094576237 9913025438 9668491563 (Phil Carmody, k=279)
  22. 1095774001 9999999999 8904225999 (Phil Carmody, k=1)
  23. 1096631631 7039928572 1050431667 (Phil Carmody, k=1)
  24. 1097559778 7510385277 7055285397 (Phil Carmody, k=102)
  25. 1097928920 8732563758 2819315241 (Phil Carmody, k=20)
  26. 1098293137 6167956636 9327089243 (Dario Alpern, k=2629)
  27. 1100053123 2176839412 8841230879 (Phil Carmody, k=11)
  28. 1104214639 9329477653 9403706081 (Phil Carmody, k=80)
  29. 1112970731 7073170731 7073159603 (Phil Carmody, k=9)
  30. 1122676998 7699876998 7699865773 (Phil Carmody, k=2)
  31. 1126212158 3176482170 8827127879 (Phil Carmody, k=1)
  32. 1129177283 0519034781 5696047827 (Phil Carmody, k=1)
  33. 1131820005 9312714595 2888798733 (Phil Carmody, k=2)
  34. 1136435252 6100699968 4964264717 (Phil Carmody, k=2)
  35. 1139741158 3437263044 3794918721 (Dario Alpern, k=1440)
  36. 1146120033 6752061151 8199379791 (Phil Carmody, k=5)
  37. 1150735058 0846238901 5111564919 (Phil Carmody, k=1)
  38. 1157446434 0236788231 0166605283 (Phil Carmody, k=521)
  39. 1165569427 6025519000 9117375317 (Phil Carmody, k=2)
  40. 1167201313 6844702718 7157026813 (Phil Carmody, k=22)
  41. 1184787744 3607138225 2379791203 (Phil Carmody, k=211)
  42. 1186239587 0672175574 8112020907 (Phil Carmody, k=1)
  43. 1207011026 3917281145 9136416723 (Phil Carmody, k=557)
  44. 1207401156 0221106783 4825729519 (Phil Carmody, k=1)
  45. 1227812693 3510819150 9932469413 (Phil Carmody, k=2)
  46. 1231288715 2416874207 0796281523 (Phil Carmody, k=1)
  47. 1233576385 6428306250 6462285879 (Phil Carmody, k=51)
  48. 1236855951 1904908753 1992751431 (Phil Carmody, k=5)
  49. 1238961104 0813008129 9574047027 (Phil Carmody, k=1)
  50. 1251853974 7630059801 1796944477 (Phil Carmody, k=26)
  51. 1252904233 3644131560 3660495237 (Phil Carmody, k=662)
  52. 1257556645 7448879789 3720887839 (Phil Carmody, k=1)
  53. 1260168507 3233911388 2451009191 (Phil Carmody, k=5)
  54. 1262403745 7004612632 8399650289 (Phil Carmody, k=88)
  55. 1263229094 9045798400 4140353363 (Phil Carmody, k=1)
  56. 1270197049 5599815602 6093891043 (Phil Carmody, k=137)
  57. 1275517587 4553979880 4653380089 (Phil Carmody, k=4)
  58. 1280222635 0003000299 9019807369 (Phil Carmody, k=28)
  59. 1280868544 4826407012 1128142253 (Phil Carmody, k=14)
  60. 1281023359 0603767016 7210346031 (Phil Carmody, k=5)
  61. 1285424689 1485148514 7229426797 (Phil Carmody, k=2)
  62. 1299928293 5271017689 3574823169 (Phil Carmody, k=128)
  63. 1305722595 0924487822 9613117107 (Phil Carmody, k=1)
  64. 1306078951 7747387695 4375372119 (Dario Alpern, k=1441)
  65. 1306991755 9603768926 5729705723 (Phil Carmody, k=1)
  66. 1312103933 7239169615 2732743747 (Phil Carmody, k=1)
  67. 1323230017 8010350349 1464131169 (Phil Carmody, k=16)
  68. 1336023406 9080125213 1308458243 (Phil Carmody, k=7)
  69. 1343682403 4581494079 1096257369 (Phil Carmody, k=28)
  70. 1347534295 2835340721 2407659079 (Dario Alpern, k=1121)
  71. 1358509017 6634398331 5897327733 (Phil Carmody, k=2)
  72. 1359721834 8728342961 8071868239 (Phil Carmody, k=1)
  73. 1362481724 2382941559 2820233283 (Phil Carmody, k=1)
  74. 1378101217 9941338914 7051489191 (Phil Carmody, k=5)
  75. 1380996149 7598386213 3460693237 (Phil Carmody, k=2)
  76. 1391650717 5461043842 7266728453 (Phil Carmody, k=534)
  77. 1416654047 9648665202 1476388667 (Phil Carmody, k=1)
  78. 1421073301 8299118828 3792800827 (Phil Carmody, k=1)
  79. 1426360501 9594300893 3613484947 (Phil Carmody, k=7)
  80. 1426704798 9520104798 9520119067 (Phil Carmody, k=1)
  81. 1429237050 7938793879 2450150889 (Phil Carmody, k=516)
  82. 1433058790 3150049670 4291248307 (Phil Carmody, k=1)
  83. 1444712153 5398191834 8147210267 (Phil Carmody, k=1)
  84. 1468478166 8216046371 6982142129 (Phil Carmody, k=8)
  85. 1472590602 3690861645 7782711787 (Phil Carmody, k=1)
  86. 1481540806 7364060594 0910496161 (Phil Carmody, k=720)
  87. 1488304731 0025810848 6030577267 (Phil Carmody, k=17)
  88. 1488305191 6986085243 0228082227 (Phil Carmody, k=161)
  89. 1492420748 1298129812 8320560551 (Phil Carmody, k=25)
  90. 1492691169 8068193525 1835609559 (Phil Carmody, k=49)
  91. 1507297138 3736664723 1917900667 (Phil Carmody, k=717)
  92. 1515272705 2925874459 8218252157 (Dario Alpern, k=2438)
  93. 1518402857 9090125453 1030078881 (Phil Carmody, k=80)
  94. 1534132728 3844956138 7954244467 (Phil Carmody, k=1)
  95. 1558582706 8081346973 6282765911 (Phil Carmody, k=355)
  96. 1560769844 4635151685 3383082681 (Phil Carmody, k=260)
  97. 1561794215 9512103865 8926101919 (Phil Carmody, k=41)
  98. 1581506620 5498915706 3104079519 (Phil Carmody, k=1)
  99. 1583540913 1047925139 1761156689 (Phil Carmody, k=8)
  100. 1585931639 0639063906 2320459001 (Phil Carmody, k=500)
  101. 1589787471 7998648046 0411564483 (Phil Carmody, k=49)
  102. 1611767594 1199920127 9499044477 (Phil Carmody, k=2)
  103. 1617471904 8702324351 9046513333 (Dario Alpern, k=1202)
  104. 1617836367 2583184724 0892707677 (Phil Carmody, k=2)
  105. 1622379222 8361620561 1850054921 (Dario Alpern, k=2340)
  106. 1622945231 3055864180 1029805213 (Phil Carmody, k=2)
  107. 1627979716 2028379716 2028395997 (Dario Alpern, k=2322)
  108. 1628592811 2333579534 9763279289 (Phil Carmody, k=4)
  109. 1640492496 0191683874 6854692317 (Phil Carmody, k=958)
  110. 1643583762 4235165586 5030341561 (Phil Carmody, k=420)
  111. 1649710207 5300612818 5496356573 (Phil Carmody, k=782)
  112. 1662572876 0595289246 5138063919 (Phil Carmody, k=1)
  113. 1666699899 7999066318 9819072267 (Phil Carmody, k=901)
  114. 1675340282 1517032454 9900363003 (Phil Carmody, k=17)
  115. 1689476451 4064270463 2374794013 (Phil Carmody, k=94)
  116. 1689928074 3420331734 3913805507 (Phil Carmody, k=23)
  117. 1692626466 5960372139 0714217723 (Phil Carmody, k=39)
  118. 1695192959 2249458951 9577546201 (Phil Carmody, k=700)
  119. 1716223789 2061581804 3031153147 (Phil Carmody, k=137)
  120. 1723869107 0146765693 9755982267 (Phil Carmody, k=1)
  121. 1724920918 2379907908 0654986991 (Phil Carmody, k=455)
  122. 1729547212 6723510120 9476635203 (Phil Carmody, k=7)
  123. 1741827083 7457929122 9459530387 (Phil Carmody, k=1)
  124. 1744207919 9668517228 2889008547 (Phil Carmody, k=373)
  125. 1749226206 9738121800 6376579147 (Phil Carmody, k=1)
  126. 1759247117 3601879446 0931690911 (Phil Carmody, k=5)
  127. 1759258763 1608758496 8181798239 (Phil Carmody, k=1)
  128. 1762315403 2231421042 9883751609 (Phil Carmody, k=76)
  129. 1768198509 8890485506 3498513437 (Phil Carmody, k=642)
  130. 1782564151 0039082876 1035116639 (Phil Carmody, k=1)
  131. 1803297404 9724796812 9653514907 (Phil Carmody, k=1)
  132. 1804803272 7937915742 6133112471 (Phil Carmody, k=15)
  133. 1808865684 1828703974 2615201961 (Phil Carmody, k=20)
  134. 1812468007 4136051277 9202995867 (Phil Carmody, k=1)
  135. 1815363082 8484848484 6669485403 (Phil Carmody, k=17)
  136. 1815987966 9297136875 8592011479 (Phil Carmody, k=1)
  137. 1829582263 5494706893 2396702523 (Phil Carmody, k=1)
  138. 1841526235 4646891030 9365124199 (Phil Carmody, k=1)
  139. 1854166138 4629558584 2825274871 (Phil Carmody, k=15)
  140. 1885668552 5704133910 3853161157 (Phil Carmody, k=2)
  141. 1888831975 2460271118 6996177919 (Phil Carmody, k=1)
  142. 1892260397 2025721317 0133460921 (Phil Carmody, k=20)
  143. 1895202091 0986106769 4173151961 (Phil Carmody, k=20)
  144. 1896686418 4792452632 3909754961 (Phil Carmody, k=520)
  145. 1901978880 8409923237 8812552763 (Phil Carmody, k=139)
  146. 1907646550 6589365335 0814181227 (Phil Carmody, k=71)
  147. 1916385025 5242293105 3648259329 (Phil Carmody, k=128)
  148. 1918570592 5379788880 8441016467 (Phil Carmody, k=31)
  149. 1921328205 2940485139 2292658201 (Phil Carmody, k=700)
  150. 1932758863 8664934890 8612682609 (Phil Carmody, k=88)
  151. 1937891465 7838513021 3341526693 (Phil Carmody, k=2)
  152. 1943496634 3330086947 2114099387 (Phil Carmody, k=17)
  153. 1959058465 3112774691 9074508307 (Phil Carmody, k=27)
  154. 1980557848 3743935368 9486149799 (Phil Carmody, k=1)
  155. 1989188859 1470844109 9087892511 (Phil Carmody, k=145)
  156. 1996299873 1293242798 8851754243 (Phil Carmody, k=47)
  157. 2008110832 8616834623 5321595079 (Phil Carmody, k=1)
  158. 2009882744 6126252639 4858911089 (Phil Carmody, k=8)
  159. 2013834211 0473173628 9843615467 (Phil Carmody, k=53)
  160. +201763709900322803748657942361 () (k=74561607501967037601130060)
  161. 2023915811 5463216218 0693792681 (Phil Carmody, k=580)
  162. 2036786408 7009113308 4968035209 (Phil Carmody, k=4)
  163. 2045510304 5126608185 0605659289 (Phil Carmody, k=4)
  164. 2047117899 8933221217 3688204973 (Phil Carmody, k=94)
  165. 2071535654 9385537151 1838160147 (Phil Carmody, k=1)
  166. 2072432458 5423479098 3351046641 (Phil Carmody, k=40)
  167. 2081393227 9926648897 7845255671 (Phil Carmody, k=485)
  168. 2088932798 0840330282 5469127733 (Phil Carmody, k=2)
  169. 2101088567 4991307291 1785129281 (Phil Carmody, k=160)
  170. 2119467243 0979576353 3567623071 (Dario Alpern, k=2695)
  171. 2123848200 3782042710 1003012359 (Phil Carmody, k=203)
  172. 2134953974 4814399541 9717313151 (Phil Carmody, k=25)
  173. 2142528428 4740818617 0894430733 (Dario Alpern, k=1246)
  174. 2160971218 1159716813 0476705361 (Phil Carmody, k=520)
  175. 2169624024 3077372544 9585609133 (Dario Alpern, k=2534)
  176. 2185645847 3242975817 9378070919 (Phil Carmody, k=193)
  177. 2197371684 1742963964 0733711093 (Phil Carmody, k=2)
  178. 2201438339 4153221725 3643239957 (Phil Carmody, k=722)
  179. 2206019941 8128195979 2770523963 (Dario Alpern, k=1781)
  180. 2221253935 5416181927 0093741439 (Phil Carmody, k=1)
  181. 2225327825 8140123975 2746479319 (Phil Carmody, k=283)
  182. 2225828509 7141220128 1905495587 (Dario Alpern, k=1201)
  183. 2229700659 3855233319 8224009111 (Phil Carmody, k=85)
  184. 2234194863 2866401282 3080667307 (Phil Carmody, k=1)
  185. 2236033020 3764521247 1490220641 (Phil Carmody, k=80)
  186. 2271978432 1059491208 9506013547 (Phil Carmody, k=1)
  187. 2286545178 0078140474 2456391599 (Phil Carmody, k=11)
  188. 2292964872 5961602786 5121379631 (Phil Carmody, k=5)
  189. 2312270733 7466267385 8249681599 (Phil Carmody, k=1)
  190. 2338837116 9295292952 6956455837 (Phil Carmody, k=2)
  191. 2369681613 7945951265 1042273199 (Phil Carmody, k=1)
  192. 2378867148 6749412948 4370545801 (Phil Carmody, k=100)
  193. 2386743154 0984680578 4178281961 (Phil Carmody, k=20)
  194. 2401763131 5977952203 4797975111 (Phil Carmody, k=5)
  195. 2402022524 6099379036 5861043923 (Phil Carmody, k=1)
  196. 2471717200 3400779103 1478040839 (Phil Carmody, k=511)
  197. 2478971201 7702905209 8507970721 (Phil Carmody, k=560)
  198. 2486687151 4796521136 3297280787 (Phil Carmody, k=77)
  199. 2501309900 8153774635 2650293973 (Phil Carmody, k=2)
  200. 2502185028 5908828335 3258577813 (Phil Carmody, k=2)
  201. 2503626599 2771367741 9106749477 (Phil Carmody, k=638)
  202. 2526045417 6195212989 1987539591 (Dario Alpern, k=1105)
  203. 2527103088 9691103088 9691128361 (Phil Carmody, k=20)
  204. 2527297020 1131860016 0465011479 (Phil Carmody, k=21)
  205. 2531826274 5597041391 1344604267 (Phil Carmody, k=1)
  206. 2541542159 6039885843 3938897201 (Phil Carmody, k=200)
  207. 2542183619 8361983619 8361958199 (Phil Carmody, k=1)
  208. 2545307314 5239302013 7063875521 (Dario Alpern, k=1120)
  209. 2615038574 8875762713 7096446173 (Phil Carmody, k=442)
  210. 2626531696 2955642949 6793734929 (Phil Carmody, k=8)
  211. 2630652714 0866893220 3169120733 (Phil Carmody, k=2)
  212. 2638261934 0818544005 7950044493 (Phil Carmody, k=2)
  213. 2652657092 4874747210 5401888627 (Phil Carmody, k=13)
  214. 2679545772 2069892890 9015641759 (Phil Carmody, k=21)
  215. 2683724569 3921995644 4268488529 (Phil Carmody, k=8)
  216. 2693361244 8776233007 8793494987 (Phil Carmody, k=1)
  217. 2748796955 7646176461 4897379507 (Phil Carmody, k=1)
  218. 2756622312 5054435458 4171469559 (Phil Carmody, k=113)
  219. 2760687167 0989751214 3322732351 (Phil Carmody, k=75)
  220. 2762549465 1456245151 9531282517 (Phil Carmody, k=2)
  221. 2777390766 1003071244 1879593043 (Phil Carmody, k=1)
  222. 2782419492 4257340151 9098683037 (Phil Carmody, k=886)
  223. 2799807766 6554564846 4570239361 (Phil Carmody, k=320)
  224. 2818327997 1024990945 3096732277 (Phil Carmody, k=2)
  225. 2824405974 9386082164 7616980253 (Phil Carmody, k=2)
  226. 2825097649 7976061617 3287909311 (Phil Carmody, k=795)
  227. 2832800000 0000000000 0000028329 (Phil Carmody, k=4)
  228. 2834737582 1109027537 8689464799 (Phil Carmody, k=1)
  229. 2850185025 4686346863 1836161839 (Phil Carmody, k=1)
  230. 2860393212 8146434780 5286041569 (Phil Carmody, k=16)
  231. 2902152023 9064148898 0771684839 (Phil Carmody, k=1)
  232. 2922826430 1354916725 3789910117 (Phil Carmody, k=2)
  233. 2931891215 9985464573 3489216923 (Dario Alpern, k=1187)
  234. 2961060195 4434851924 1488876729 (Phil Carmody, k=4)
  235. 3012078763 3332153143 0350953919 (Phil Carmody, k=1)
  236. 3017667639 6435643564 0546688797 (Phil Carmody, k=2)
  237. 3042700114 1745430102 2345768679 (Dario Alpern, k=1213)
  238. 3047389778 3138606355 7912998757 (Phil Carmody, k=26)
  239. 3061735196 2394723515 1016156637 (Phil Carmody, k=2)
  240. 3070898079 8955825162 1621573609 (Phil Carmody, k=28)
  241. 3075553591 9137295063 0121147413 (Phil Carmody, k=722)
  242. 3080977754 3962233133 6477733413 (Phil Carmody, k=2)
  243. 3134403947 1235162660 9812475213 (Phil Carmody, k=2)
  244. 3164538043 9129810393 5965272351 (Phil Carmody, k=75)
  245. 3164927210 2148842913 6160846373 (Phil Carmody, k=2)
  246. 3165692806 0243863529 0366635973 (Phil Carmody, k=54)
  247. 3166633487 5802821957 6134668791 (Phil Carmody, k=155)
  248. 3177513031 6049744256 5369661409 (Phil Carmody, k=16)
  249. 3179347408 3502886873 7353242437 (Phil Carmody, k=482)
  250. 3181621410 4297989974 1577751917 (Phil Carmody, k=2)
  251. 3190256853 3493279728 5191472467 (Phil Carmody, k=1)
  252. 3216666539 3346066539 3346098707 (Phil Carmody, k=611)
  253. 3221113203 4956418894 5186448039 (Phil Carmody, k=43)
  254. 3232256031 8564783686 4048954107 (Phil Carmody, k=1)
  255. 3246429436 3603669100 3139401569 (Phil Carmody, k=16)
  256. 3248739506 9995464265 4498718799 (Phil Carmody, k=1)
  257. 3278733237 7253849635 0337725831 (Phil Carmody, k=85)
  258. 3284037718 9584608428 4854931089 (Phil Carmody, k=8)
  259. 3289894895 1119785716 3151294999 (Phil Carmody, k=1)
  260. 3295863146 8139341182 5879206373 (Phil Carmody, k=206)
  261. 3304075876 0094256087 6790180213 (Phil Carmody, k=2)
  262. 3308438969 1499476079 2326847209 (Phil Carmody, k=4)
  263. 3309224251 2032148030 4658627719 (Phil Carmody, k=1)
  264. 3309955232 6975071068 4061155441 (Phil Carmody, k=40)
  265. 3335325186 3877085724 6024856717 (Phil Carmody, k=2)
  266. 3339106734 3939174637 7629155733 (Phil Carmody, k=62)
  267. 3339658814 2685693934 8058906409 (Phil Carmody, k=236)
  268. 3388581759 2800920770 9412339013 (Phil Carmody, k=14)
  269. 3393903284 6643502001 3943955639 (Phil Carmody, k=1)
  270. 3396352319 5313104305 1803737431 (Phil Carmody, k=55)
  271. 3421071768 4542818249 1118719157 (Phil Carmody, k=102)
  272. 3426121102 5795754105 8663722689 (Phil Carmody, k=416)
  273. 3437990343 4146341463 0708351121 (Phil Carmody, k=40)
  274. 3452863247 0887586013 8475815719 (Phil Carmody, k=1)
  275. 3470365182 8767445328 8049192359 (Phil Carmody, k=419)
  276. 3489129860 9324663725 4743025311 (Dario Alpern, k=1795)
  277. 3499379779 7919389557 1939164243 (Dario Alpern, k=2809)
  278. 3538280578 8615349571 5119097123 (Dario Alpern, k=1669)
  279. 3539450416 5157551611 7348822067 (Phil Carmody, k=1)
  280. 3547560012 7498786489 5698302763 (Phil Carmody, k=1)
  281. 3554532975 3225573001 4895552877 (Phil Carmody, k=2)
  282. 3577118492 5168434666 7514609443 (Phil Carmody, k=17)
  283. 3586500284 8821040837 7087818511 (Phil Carmody, k=5)
  284. 3593662361 6198601686 8205052289 (Phil Carmody, k=576)
  285. 3596755033 5580686952 6777394243 (Phil Carmody, k=31)
  286. 3613187709 4669918339 3099007773 (Phil Carmody, k=22)
  287. 3641330261 7128527201 5424180597 (Phil Carmody, k=2)
  288. 3701591569 8570439538 0993092453 (Phil Carmody, k=2)
  289. 3710310569 1056910569 1056873467 (Phil Carmody, k=1)
  290. 3766076243 6838498496 3549157707 (Phil Carmody, k=1)
  291. 3775830097 1863466244 9707752627 (Phil Carmody, k=17)
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