Known 15-digit prime factors of Googolplex - 10

  1. Alpertron
  2. Number Theory
  3. Known 15-digit prime factors of Googolplex − 10

This is a list of known 15-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. 10048 1000236319 (Dario Alpern, k=5759)
  2. 10077 9793895551 (Phil Carmody, k=175)
  3. 10116 2643331213 (Phil Carmody, k=394)
  4. +102282802279267 (Dario Alpern) (k=7886711)
  5. 10356 8372372587 (Phil Carmody, k=1)
  6. 10570 4766575959 (Dario Alpern, k=1525843)
  7. 10758 0593063569 (Phil Carmody, k=248)
  8. 10900 3067543791 (Phil Carmody, k=105)
  9. 10961 8798337203 (Phil Carmody, k=217)
  10. 10964 4074278483 (Phil Carmody, k=17)
  11. 10971 5214059111 (Phil Carmody, k=5)
  12. 11023 5625699387 (Dario Alpern, k=29761)
  13. 11244 3547660597 (Phil Carmody, k=2)
  14. 11632 8676382293 (Phil Carmody, k=2)
  15. 11637 1244537173 (Phil Carmody, k=34)
  16. 11694 0686427919 (Phil Carmody, k=1)
  17. 11755 7825484787 (Phil Carmody, k=1)
  18. 12304 2720937951 (Phil Carmody, k=25)
  19. 12404 2712800403 (Phil Carmody, k=1)
  20. 12426 5734333483 (Phil Carmody, k=7)
  21. 13147 2092335849 (Phil Carmody, k=68)
  22. 13262 9500154467 (Phil Carmody, k=7)
  23. 13299 5871236119 (Dario Alpern, k=2633)
  24. 13440 0143785123 (Dario Alpern, k=1879)
  25. +134515951184479 (Dario Alpern) (k=154423273)
  26. 13704 0782578471 (Phil Carmody, k=265)
  27. +138078277812107 (Dario Alpern) (k=66422683)
  28. 14166 4653805963 (Phil Carmody, k=7)
  29. 14180 1398199803 (Phil Carmody, k=1)
  30. 14328 3097589831 (Dario Alpern, k=46115)
  31. 14574 9498930043 (Dario Alpern, k=4627)
  32. 14684 3402611159 (Phil Carmody, k=81)
  33. 14865 6284124877 (Phil Carmody, k=2)
  34. 15074 0583685187 (Dario Alpern, k=3793)
  35. 15103 2090742957 (Phil Carmody, k=342)
  36. 15232 7782608049 (Dario Alpern, k=90456)
  37. 15338 8863969001 (Dario Alpern, k=21500)
  38. 15359 9788334533 (Phil Carmody, k=722)
  39. 15441 5773262917 (Phil Carmody, k=22)
  40. +154627114122163 (k=66422683)
  41. 15775 6814865031 (Phil Carmody, k=355)
  42. 15908 5565384363 (Phil Carmody, k=1)
  43. 16116 6961501723 (Phil Carmody, k=219)
  44. 16228 6962289759 (Phil Carmody, k=171)
  45. 16350 3772852597 (Dario Alpern, k=1406)
  46. 16803 1601259391 (Phil Carmody, k=5)
  47. 17371 2825101533 (Phil Carmody, k=2)
  48. 17596 1131593721 (Phil Carmody, k=20)
  49. 17631 3026711999 (Phil Carmody, k=19)
  50. 18156 5613551293 (Dario Alpern, k=8222)
  51. 18207 9682575613 (Phil Carmody, k=2)
  52. 18673 8749826443 (Phil Carmody, k=1)
  53. 19001 0434907893 (Phil Carmody, k=2)
  54. 19095 3170712613 (Phil Carmody, k=14)
  55. 19412 9272673227 (Phil Carmody, k=17)
  56. 19422 5040611677 (Phil Carmody, k=2)
  57. 19583 9785614637 (Phil Carmody, k=2)
  58. 19850 6376880283 (Phil Carmody, k=1)
  59. 20097 0721462391 (Dario Alpern, k=15595)
  60. 20179 0062338239 (Phil Carmody, k=1)
  61. 20302 5924166213 (Phil Carmody, k=14)
  62. 20378 0058896107 (Phil Carmody, k=7)
  63. 20715 2467340323 (Phil Carmody, k=7)
  64. 20738 8239055867 (Dario Alpern, k=826167)
  65. 20753 2919417533 (Phil Carmody, k=2)
  66. 21120 7209306787 (Dario Alpern, k=3787)
  67. +213852495594481 (Dario Alpern) (k=15619880)
  68. 21781 3277586013 (Phil Carmody, k=2)
  69. 22035 0475955453 (Phil Carmody, k=46)
  70. 22299 1145580067 (Phil Carmody, k=1)
  71. 22663 3070671723 (Phil Carmody, k=39)
  72. 23332 3310264599 (Dario Alpern, k=122271)
  73. 23789 8669599271 (Phil Carmody, k=15)
  74. 24414 6526348363 (Dario Alpern, k=28607)
  75. 24713 3197993067 (Phil Carmody, k=203)
  76. 24780 6659332723 (Phil Carmody, k=7)
  77. 25039 7438877763 (Phil Carmody, k=107)
  78. 25561 1708582467 (Phil Carmody, k=1)
  79. 25724 6872643003 (Phil Carmody, k=1)
  80. 26134 9217149987 (Phil Carmody, k=7)
  81. 26443 5708553987 (Phil Carmody, k=1)
  82. 26525 7753891877 (Phil Carmody, k=2)
  83. 26918 7431920129 (Phil Carmody, k=256)
  84. +272295362253883 (Dario Alpern) (k=40848389177)
  85. 27281 4115713877 (Phil Carmody, k=2)
  86. 27901 8009752197 (Phil Carmody, k=26)
  87. 27927 7081805437 (Phil Carmody, k=806)
  88. 28164 1349630969 (Phil Carmody, k=4)
  89. 29334 9033933733 (Phil Carmody, k=14)
  90. 29479 3748956477 (Phil Carmody, k=42)
  91. 29481 5244310759 (Phil Carmody, k=1)
  92. 29713 2561361747 (Dario Alpern, k=92137)
  93. 30556 8633971723 (Phil Carmody, k=1)
  94. 30557 2499715997 (Phil Carmody, k=2)
  95. 31379 9636314693 (Phil Carmody, k=54)
  96. 31712 2893719083 (Phil Carmody, k=9)
  97. 31915 2346267387 (Phil Carmody, k=1)
  98. 33195 2337696893 (Dario Alpern, k=2846)
  99. 33478 8223949323 (Phil Carmody, k=247)
  100. 33845 3999744239 (Phil Carmody, k=301)
  101. 34891 8048745597 (Phil Carmody, k=2)
  102. 34997 1288785449 (Phil Carmody, k=68)
  103. 35643 9207956437 (Phil Carmody, k=2)
  104. 37058 4006713119 (Dario Alpern, k=2671)
  105. 38353 9114352791 (Phil Carmody, k=205)
  106. 38558 4706063049 (Phil Carmody, k=4)
  107. 39570 5989786169 (Phil Carmody, k=4)
  108. 39660 9209570641 (Phil Carmody, k=40)
  109. 40067 3333293267 (Phil Carmody, k=1)
  110. 41157 9289795213 (Phil Carmody, k=14)
  111. 42043 9186949827 (Phil Carmody, k=1)
  112. 43100 5101002323 (Phil Carmody, k=7)
  113. 45404 6494289653 (Phil Carmody, k=34)
  114. 46155 8441810077 (Phil Carmody, k=26)
  115. 46221 5203560361 (Phil Carmody, k=20)
  116. 46272 9552608093 (Phil Carmody, k=686)
  117. 46531 4705529169 (Phil Carmody, k=8)
  118. 48309 5643612667 (Phil Carmody, k=161)
  119. 48367 5411232751 (Phil Carmody, k=125)
  120. 49709 2592589319 (Phil Carmody, k=1)
  121. 49864 4406721477 (Phil Carmody, k=2)
  122. 50704 3734538027 (Dario Alpern, k=1141)
  123. 51133 9236600013 (Phil Carmody, k=2)
  124. 51794 9151239719 (Phil Carmody, k=1)
  125. 52149 0664399951 (Phil Carmody, k=525)
  126. 52236 3838331603 (Phil Carmody, k=1)
  127. 53330 6020959631 (Phil Carmody, k=85)
  128. 53940 7167243319 (Phil Carmody, k=51)
  129. 56496 7830694717 (Phil Carmody, k=2)
  130. 57003 1304723677 (Phil Carmody, k=2)
  131. 57837 7059094573 (Phil Carmody, k=2)
  132. 58582 4176143559 (Phil Carmody, k=1)
  133. 58692 6022893319 (Phil Carmody, k=1)
  134. 61746 0000061747 (Phil Carmody, k=1)
  135. 62848 9451831671 (Phil Carmody, k=65)
  136. 63169 4111532493 (Phil Carmody, k=2)
  137. 65105 0611641013 (Phil Carmody, k=2)
  138. 65141 4794242747 (Phil Carmody, k=1)
  139. 68033 7644644409 (Phil Carmody, k=4)
  140. 68600 4619399027 (Phil Carmody, k=1)
  141. 69545 8573170733 (Phil Carmody, k=14)
  142. 73746 9377856397 (Phil Carmody, k=642)
  143. 74132 6987807209 (Dario Alpern, k=2276)
  144. 74425 6276802413 (Phil Carmody, k=2)
  145. 75338 0583621409 (Phil Carmody, k=16)
  146. 76234 6471551043 (Phil Carmody, k=7)
  147. 76643 8765492831 (Phil Carmody, k=155)
  148. 76701 1934803951 (Phil Carmody, k=275)
  149. 79451 9600711717 (Phil Carmody, k=278)
  150. 79557 9146886907 (Dario Alpern, k=1987)
  151. 81395 3884122853 (Phil Carmody, k=2)
  152. 82201 4715437147 (Phil Carmody, k=203)
  153. 82328 0000082329 (Phil Carmody, k=4)
  154. 83873 7729538831 (Phil Carmody, k=135)
  155. 84877 1060433787 (Phil Carmody, k=7)
  156. 88815 5033170609 (Phil Carmody, k=56)
  157. 88945 1157702307 (Phil Carmody, k=1)
  158. 89844 4828171837 (Phil Carmody, k=2)
  159. 90918 0000090919 (Phil Carmody, k=1)
  160. 91883 2390921969 (Phil Carmody, k=488)
  161. 92292 5850830831 (Phil Carmody, k=665)
  162. 92927 4489854917 (Phil Carmody, k=346)
  163. 96683 4710850427 (Phil Carmody, k=31)