Known 18-digit prime factors of Googolplex - 10

  1. Alpertron
  2. Number Theory
  3. Known 18-digit prime factors of Googolplex − 10

This is a list of known 18-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. 10084672 5506726827 (Phil Carmody, k=1)
  2. 10288638 8468576191 (Phil Carmody, k=5)
  3. 10308359 8364444479 (Phil Carmody, k=1)
  4. 10411624 5383305321 (Phil Carmody, k=20)
  5. 10420805 5171538077 (Dario Alpern, k=1402)
  6. 10565830 6418280277 (Phil Carmody, k=2)
  7. 10611883 2286996849 (Phil Carmody, k=216)
  8. 10790229 0669970969 (Phil Carmody, k=76)
  9. 11058976 9251386569 (Phil Carmody, k=156)
  10. 11114260 8167552809 (Phil Carmody, k=868)
  11. 11159318 5612270627 (Phil Carmody, k=1)
  12. 11819275 2234355283 (Phil Carmody, k=1)
  13. 12375396 8680456987 (Phil Carmody, k=1)
  14. 12516926 3525548483 (Phil Carmody, k=197)
  15. 12618131 2038853237 (Phil Carmody, k=2)
  16. 12764652 9916134637 (Phil Carmody, k=2)
  17. 12933859 6409830369 (Phil Carmody, k=368)
  18. 13129014 6070592191 (Phil Carmody, k=115)
  19. 13143672 1597302089 (Phil Carmody, k=4)
  20. 13475576 7581529403 (Phil Carmody, k=49)
  21. 13517328 0013517329 (Phil Carmody, k=8)
  22. 13554539 9816753677 (Dario Alpern, k=1306)
  23. 13660864 2298271573 (Phil Carmody, k=26)
  24. 13778635 2181343317 (Phil Carmody, k=2)
  25. 14061427 8619310827 (Phil Carmody, k=1)
  26. 14105368 7830821133 (Phil Carmody, k=74)
  27. 14125931 3479472467 (Phil Carmody, k=1)
  28. 14505906 3849621307 (Phil Carmody, k=7)
  29. 14867442 2730552409 (Dario Alpern, k=1516)
  30. 15196663 8318650893 (Phil Carmody, k=22)
  31. 15406828 3713520999 (Dario Alpern, k=1571)
  32. 15540166 1768841991 (Phil Carmody, k=5)
  33. 15572330 6925658627 (Phil Carmody, k=7)
  34. 15849980 8895592517 (Phil Carmody, k=326)
  35. 16367040 3580723477 (Phil Carmody, k=2)
  36. 16626167 7547949479 (Phil Carmody, k=321)
  37. 16725648 3078371077 (Phil Carmody, k=702)
  38. 17617867 3563589397 (Phil Carmody, k=98)
  39. 17730363 9306178837 (Phil Carmody, k=22)
  40. 17793845 4381998201 (Dario Alpern, k=1100)
  41. 17966913 3855865813 (Phil Carmody, k=2)
  42. 18033870 3582390307 (Phil Carmody, k=1)
  43. 18136523 3305930237 (Phil Carmody, k=2)
  44. 18161675 8643651707 (Phil Carmody, k=17)
  45. 18534222 7362334517 (Phil Carmody, k=178)
  46. 19286179 6183337161 (Phil Carmody, k=20)
  47. 19437372 3309496399 (Phil Carmody, k=1)
  48. 19586097 2541460249 (Phil Carmody, k=436)
  49. 19775938 0142825689 (Phil Carmody, k=68)
  50. 19806618 4424637827 (Dario Alpern, k=1483)
  51. 19943958 0019943959 (Phil Carmody, k=323)
  52. 19971844 4683475191 (Phil Carmody, k=155)
  53. 20099924 2725494441 (Phil Carmody, k=20)
  54. 20289879 0362139631 (Phil Carmody, k=5)
  55. 20478749 3373455191 (Phil Carmody, k=5)
  56. 20641153 6496940013 (Phil Carmody, k=14)
  57. 20681072 0381266129 (Phil Carmody, k=216)
  58. 20768809 2644321479 (Phil Carmody, k=21)
  59. 20794231 4043897841 (Phil Carmody, k=40)
  60. 21094039 8171687889 (Phil Carmody, k=216)
  61. 21502426 1099254237 (Dario Alpern, k=2422)
  62. 22067154 3210256079 (Dario Alpern, k=1229)
  63. 22183761 7498318933 (Phil Carmody, k=2)
  64. 22449330 9901103387 (Phil Carmody, k=13)
  65. 22488862 7431385677 (Phil Carmody, k=2)
  66. 22679100 3129540547 (Phil Carmody, k=1)
  67. 23434293 3806104003 (Phil Carmody, k=29)
  68. 23696879 6539204159 (Phil Carmody, k=13)
  69. 23783283 2991983239 (Phil Carmody, k=1)
  70. 24054620 7825660241 (Phil Carmody, k=280)
  71. 24388774 3693207507 (Phil Carmody, k=1)
  72. 26166854 3788543093 (Phil Carmody, k=2)
  73. 26323230 0026323231 (Phil Carmody, k=5)
  74. 26561827 4240980849 (Phil Carmody, k=8)
  75. 26726195 1680590879 (Phil Carmody, k=1)
  76. 26751569 3612075729 (Phil Carmody, k=424)
  77. 27059982 4241189587 (Dario Alpern, k=1027)
  78. 27535441 6299774923 (Phil Carmody, k=1)
  79. 27650483 8356533359 (Phil Carmody, k=13)
  80. 28069485 0550158067 (Phil Carmody, k=1)
  81. 28204525 9037381599 (Phil Carmody, k=1)
  82. 28868179 1082242933 (Phil Carmody, k=46)
  83. 28949242 3031703079 (Phil Carmody, k=1)
  84. 29195607 1763644399 (Phil Carmody, k=1)
  85. 29812831 3882526293 (Phil Carmody, k=94)
  86. 29821483 9633781881 (Phil Carmody, k=60)
  87. 29871620 1921347893 (Phil Carmody, k=114)
  88. 30042290 5781787757 (Phil Carmody, k=2)
  89. 30254017 6520180479 (Phil Carmody, k=1)
  90. 31526282 8748961523 (Phil Carmody, k=299)
  91. 31587876 0031587877 (Phil Carmody, k=2)
  92. 31746882 6199588159 (Phil Carmody, k=1)
  93. 32135284 2076411241 (Phil Carmody, k=20)
  94. 32994866 6742963803 (Phil Carmody, k=1)
  95. 33597397 1119259587 (Phil Carmody, k=1)
  96. 33685913 4499843231 (Phil Carmody, k=155)
  97. 34195466 2608452893 (Phil Carmody, k=2)
  98. 34600324 2212818147 (Phil Carmody, k=881)
  99. 34641372 7332462373 (Phil Carmody, k=122)
  100. 34754157 6172335187 (Phil Carmody, k=1)
  101. 36672962 7591042631 (Phil Carmody, k=5)
  102. 36696526 6896045529 (Dario Alpern, k=1388)
  103. 36796381 9357143013 (Phil Carmody, k=2)
  104. 37079588 4489365677 (Dario Alpern, k=2806)
  105. 37284595 8142297201 (Phil Carmody, k=200)
  106. 37628502 9398877133 (Phil Carmody, k=34)
  107. 38590790 8810561369 (Phil Carmody, k=868)
  108. 39058725 4181956213 (Phil Carmody, k=2)
  109. 39259978 2530529157 (Phil Carmody, k=2)
  110. 39811782 5724873119 (Phil Carmody, k=19)
  111. 39824017 7082302917 (Phil Carmody, k=2)
  112. 40770067 5189033271 (Phil Carmody, k=145)
  113. 41119985 0515396889 (Phil Carmody, k=4)
  114. 41204844 7587263603 (Phil Carmody, k=1)
  115. 41562463 8155089717 (Phil Carmody, k=2)
  116. 41977548 3058362547 (Phil Carmody, k=1)
  117. 42201637 9957798363 (Phil Carmody, k=59)
  118. 42579290 7472017889 (Phil Carmody, k=16)
  119. 44252808 5497766249 (Phil Carmody, k=124)
  120. 44270548 6693569391 (Phil Carmody, k=5)
  121. 44548476 3737347039 (Phil Carmody, k=43)
  122. 44649967 5982766453 (Phil Carmody, k=106)
  123. 45929601 7485482077 (Phil Carmody, k=146)
  124. 46098867 3287234467 (Dario Alpern, k=2701)
  125. 46724007 8374394693 (Dario Alpern, k=2966)
  126. 48047158 8343182209 (Phil Carmody, k=64)
  127. 48208252 7474649853 (Phil Carmody, k=2)
  128. 48425138 2498008439 (Phil Carmody, k=1)
  129. 49507564 4810541037 (Phil Carmody, k=2)
  130. 50090157 2033023453 (Phil Carmody, k=262)
  131. 50592676 3637207839 (Dario Alpern, k=1063)
  132. 50756462 8187127853 (Phil Carmody, k=2)
  133. 51356731 2675915997 (Phil Carmody, k=2)
  134. 51795081 6091399043 (Phil Carmody, k=1)
  135. 52030810 1766151009 (Phil Carmody, k=16)
  136. 52054925 3601452227 (Phil Carmody, k=587)
  137. 52664745 4158613591 (Phil Carmody, k=5)
  138. 52694510 5134382573 (Phil Carmody, k=74)
  139. 53216710 2667629397 (Phil Carmody, k=302)
  140. 53452390 3361181757 (Phil Carmody, k=2)
  141. 53651158 1650559791 (Phil Carmody, k=55)
  142. 54083614 8631003237 (Phil Carmody, k=2)
  143. 54806514 5153941399 (Phil Carmody, k=1)
  144. 55416618 4206786289 (Phil Carmody, k=8)
  145. 55937458 6696294711 (Phil Carmody, k=185)
  146. 56299144 4692806559 (Phil Carmody, k=13)
  147. 56946302 5795995169 (Phil Carmody, k=16)
  148. 57190455 2241419893 (Phil Carmody, k=22)
  149. 58873141 9128118729 (Phil Carmody, k=28)
  150. 59019192 7033018693 (Phil Carmody, k=2)
  151. 59330811 5366248267 (Phil Carmody, k=1)
  152. 61428415 0970909479 (Phil Carmody, k=23)
  153. 63318141 5546437957 (Phil Carmody, k=2)
  154. 63765352 9358907319 (Phil Carmody, k=51)
  155. 63837499 7177647159 (Phil Carmody, k=13)
  156. 64257691 2654069493 (Phil Carmody, k=2)
  157. 64265449 9820533399 (Phil Carmody, k=11)
  158. 64474415 6000242093 (Phil Carmody, k=2)
  159. 64930138 0483901773 (Phil Carmody, k=2)
  160. 66551285 2494956797 (Phil Carmody, k=2)
  161. 67141054 2652898413 (Phil Carmody, k=182)
  162. 67236590 7614749321 (Phil Carmody, k=140)
  163. 67472317 5016078519 (Phil Carmody, k=103)
  164. 67647798 4903838281 (Phil Carmody, k=60)
  165. 68376731 1782904757 (Phil Carmody, k=2)
  166. 68445164 8493278403 (Phil Carmody, k=1)
  167. 68616469 7640949363 (Phil Carmody, k=47)
  168. 69720037 2483247117 (Phil Carmody, k=2)
  169. 69850636 8227751997 (Phil Carmody, k=2)
  170. 71072472 4763157157 (Phil Carmody, k=26)
  171. 71597907 4381437533 (Phil Carmody, k=86)
  172. 71690937 0907476517 (Phil Carmody, k=686)
  173. 72400068 9889824667 (Phil Carmody, k=1)
  174. 73352688 6852080203 (Phil Carmody, k=7)
  175. 74796901 4282443267 (Phil Carmody, k=1)
  176. 74847283 4508244003 (Phil Carmody, k=129)
  177. 75075181 8153707107 (Phil Carmody, k=17)
  178. 75425793 9678571747 (Phil Carmody, k=1)
  179. 77313453 1684204163 (Phil Carmody, k=1)
  180. 77596700 3716441241 (Phil Carmody, k=20)
  181. 77631975 4260905147 (Phil Carmody, k=43)
  182. 77761176 6331102649 (Phil Carmody, k=4)
  183. 78435196 4576718253 (Phil Carmody, k=234)
  184. 78961164 6499013707 (Phil Carmody, k=1)
  185. 79463042 1871127293 (Phil Carmody, k=82)
  186. 79988999 4460834597 (Phil Carmody, k=2)
  187. 80541657 2165908081 (Phil Carmody, k=280)
  188. 81803401 6050456679 (Dario Alpern, k=1821)
  189. 82008036 0082008037 (Phil Carmody, k=2)
  190. 83800838 0083800839 (Phil Carmody, k=419)
  191. 84366838 5442324759 (Phil Carmody, k=1)
  192. 84648740 3350440157 (Phil Carmody, k=82)
  193. 85437237 5938405231 (Phil Carmody, k=5)
  194. 86362624 8999546517 (Phil Carmody, k=2)
  195. 86713267 9352457409 (Dario Alpern, k=1888)
  196. 89155618 5384862759 (Phil Carmody, k=1)
  197. 91091117 6028870083 (Phil Carmody, k=1)
  198. 91545572 5806549773 (Phil Carmody, k=806)
  199. 92340633 3847053307 (Phil Carmody, k=1)
  200. 94143604 4309300431 (Phil Carmody, k=5)
  201. 96875791 2616063747 (Phil Carmody, k=121)
  202. 97265637 9899245837 (Phil Carmody, k=622)
  203. 97724226 0097724227 (Phil Carmody, k=1)