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. 11227 2535095293 (David Broadhurst, k=26)
  2. 11258 2705942171 (David Broadhurst, k=15)
  3. 11528 0095190773 (David Broadhurst, k=2)
  4. 11579 7848077099 (David Broadhurst, k=1)
  5. 11745 0548693743 (Phil Carmody, k=3257)
  6. 11746 3495419967 (David Broadhurst, k=1)
  7. 11881 3069318813 (David Broadhurst, k=2)
  8. 11941 2668675969 (David Broadhurst, k=64)
  9. 12042 8441770207 (David Broadhurst, k=1)
  10. 12070 7628390779 (Patrick Demichel, k=336869)
  11. 12164 2554638287 (David Broadhurst, k=27)
  12. 12393 9877913659 (Phil Carmody, k=141)
  13. 12567 3790649527 (David Broadhurst, k=7)
  14. 12679 4093929207 (David Broadhurst, k=1)
  15. 12769 1861505847 (David Broadhurst, k=1)
  16. 12926 3144299543 (Patrick Demichel, k=621969)
  17. 12980 0892178099 (David Broadhurst, k=1)
  18. +135049780688689 (Dario Alpern using trial division) (k=675255656)
  19. 14354 8849365049 (Phil Carmody, k=356)
  20. 14451 8861774167 (David Broadhurst, k=1)
  21. 14522 4162680437 (David Broadhurst, k=42)
  22. 14869 4766274891 (David Broadhurst, k=5)
  23. 14974 6653717013 (David Broadhurst, k=34)
  24. 15084 8298001567 (Phil Carmody, k=207)
  25. 15502 4654627251 (Phil Carmody, k=125)
  26. 15607 6631759539 (David Broadhurst, k=21)
  27. 15655 2994205197 (Patrick Demichel, k=5626)
  28. 16376 3630072527 (David Broadhurst, k=1)
  29. 16396 1994034213 (Patrick Demichel, k=22982)
  30. 16754 0352032863 (Phil Carmody, k=149)
  31. 17063 1736043437 (Phil Carmody, k=422)
  32. 17118 9167291209 (David Broadhurst, k=36)
  33. 17268 8831471047 (David Broadhurst, k=1)
  34. 17886 0000017887 (David Broadhurst, k=1)
  35. 18194 8682132383 (David Broadhurst, k=17)
  36. 18277 7338478197 (Phil Carmody, k=1302)
  37. 18737 5974886013 (Patrick Demichel, k=522926)
  38. 18802 6209762931 (David Broadhurst, k=35)
  39. 18942 0000018943 (David Broadhurst, k=7)
  40. 18961 1658303481 (Paul Leyland, k=30660)
  41. 18997 3422006133 (David Broadhurst, k=2)
  42. 19082 6642047339 (David Broadhurst, k=1)
  43. 19434 5583000823 (Patrick Demichel, k=54879)
  44. 19535 9816127019 (Phil Carmody, k=19793)
  45. 19820 8378833169 (David Broadhurst, k=8)
  46. 20492 4149821007 (Patrick Demichel, k=202853)
  47. 20713 6744745173 (David Broadhurst, k=2)
  48. 20841 7785957019 (David Broadhurst, k=1)
  49. +210283030940533 (Dario Alpern using trial division) (k=116404462)
  50. 21776 3942410933 (David Broadhurst, k=2)
  51. +223653353580823 (Dario Alpern using trial division) (k=121193347)
  52. 22576 4583498527 (Phil Carmody, k=3253)
  53. 23020 7923499357 (John Gamble, k=14618)
  54. 23025 2588478397 (Norm Dresner, k=13122)
  55. 23572 7843431477 (Patrick Demichel, k=1652386)
  56. 23634 7269096049 (David Broadhurst, k=8)
  57. 24396 7727428303 (Phil Carmody, k=1787)
  58. 24673 9592898529 (Phil Carmody, k=3568)
  59. 25468 1567881121 (John Gamble, k=15760)
  60. 25538 3723011693 (David Broadhurst, k=2)
  61. 25687 9405392641 (John Gamble, k=14720)
  62. 25960 1784356197 (David Broadhurst, k=2)
  63. 26231 9378113321 (David Broadhurst, k=20)
  64. 26470 1832964957 (David Broadhurst, k=2)
  65. 28170 2565146179 (David Broadhurst, k=1)
  66. 28936 1293595527 (David Broadhurst, k=1)
  67. 29076 5040621331 (David Broadhurst, k=5)
  68. 29648 3719234103 (David Broadhurst, k=1)
  69. 30178 4347504207 (David Broadhurst, k=7)
  70. 30181 7127195637 (David Broadhurst, k=26)
  71. 31129 9379126299 (David Broadhurst, k=1)
  72. 32429 2595893531 (David Broadhurst, k=5)
  73. 33131 9656087733 (David Broadhurst, k=26)
  74. 33132 0000033133 (David Broadhurst, k=2)
  75. 33191 0246016757 (David Broadhurst, k=22)
  76. 33884 5682622943 (David Broadhurst, k=9)
  77. 34027 4385622117 (Phil Carmody, k=122)
  78. 34772 9286585367 (David Broadhurst, k=7)
  79. 35232 1139753371 (Phil Carmody, k=815)
  80. 35607 9241121407 (David Broadhurst, k=1)
  81. 35683 8232173499 (David Broadhurst, k=1)
  82. 36086 5562205209 (David Broadhurst, k=4)
  83. 36128 5325310619 (David Broadhurst, k=1)
  84. 36709 8790489531 (David Broadhurst, k=5)
  85. 37848 0049622419 (John Gamble, k=14233)
  86. 38459 2771580167 (David Broadhurst, k=17)
  87. 38608 5194109451 (David Broadhurst, k=25)
  88. 38881 4276086651 (Patrick Demichel, k=2850675)
  89. 39128 1027997333 (David Broadhurst, k=2)
  90. 40348 8712911637 (David Broadhurst, k=2)
  91. 40544 1238193687 (Patrick Demichel, k=2091613)
  92. 41175 8841896693 (Patrick Demichel, k=118226)
  93. 42405 9204549641 (David Broadhurst, k=20)
  94. 43271 6369382133 (David Broadhurst, k=2)
  95. 43881 7409848687 (David Broadhurst, k=1)
  96. 44138 7059026453 (Phil Carmody, k=1442)
  97. 44459 4364989127 (David Broadhurst, k=1)
  98. 47945 4309597209 (David Broadhurst, k=4)
  99. 48177 1931022757 (David Broadhurst, k=2)
  100. 49138 5387604739 (David Broadhurst, k=19)
  101. 51247 3077686611 (Patrick Demichel, k=781295)
  102. 52641 1759610411 (David Broadhurst, k=5)
  103. 52792 9848055369 (David Broadhurst, k=36)
  104. 55619 9457538957 (Patrick Demichel, k=183526)
  105. 56896 1174731357 (David Broadhurst, k=2)
  106. 58374 9007918213 (David Broadhurst, k=62)
  107. 58461 6878045047 (David Broadhurst, k=7)
  108. 59271 4019647819 (David Broadhurst, k=1)
  109. 59355 8984679253 (David Broadhurst, k=2)
  110. 59998 6279711891 (David Broadhurst, k=5)
  111. 60612 0000060613 (David Broadhurst, k=2)
  112. 62358 8780425447 (Norm Dresner, k=12657)
  113. 64620 1394864521 (David Broadhurst, k=20)
  114. 64654 6789467451 (David Broadhurst, k=25)
  115. 65492 9513058019 (Patrick Demichel, k=1847323)
  116. 65912 9135810503 (David Broadhurst, k=7)
  117. 66569 2052679571 (Phil Carmody, k=1645)
  118. 70906 9382990299 (David Broadhurst, k=1)
  119. 71367 6464346997 (David Broadhurst, k=2)
  120. 71918 1464395813 (David Broadhurst, k=2)
  121. 72001 0827689641 (Phil Carmody, k=740)
  122. 72784 2158238967 (David Broadhurst, k=1)
  123. 73016 4039430921 (Phil Carmody, k=620)
  124. 73170 0000073171 (David Broadhurst, k=15)
  125. 74216 8912426327 (David Broadhurst, k=7)
  126. 77174 0617929007 (David Broadhurst, k=1)
  127. 79475 7777698303 (David Broadhurst, k=1)
  128. 80125 8244502321 (Phil Carmody, k=3160)
  129. 80881 1156281811 (David Broadhurst, k=5)
  130. 82994 3651062609 (David Broadhurst, k=8)
  131. 83130 1709675419 (Patrick Demichel, k=8711)
  132. 83271 5053381201 (Phil Carmody, k=200)
  133. 85164 0981971209 (Phil Carmody, k=988)
  134. 85603 9999914397 (David Broadhurst, k=2)
  135. 86734 9046422801 (Patrick Demichel, k=858600)
  136. 87148 9962647371 (Phil Carmody, k=115)
  137. 87360 9360808207 (David Broadhurst, k=1)
  138. 88941 5002563491 (Norm Dresner, k=12545)
  139. 93638 8256423797 (David Broadhurst, k=2)
  140. 94046 2603878289 (David Broadhurst, k=8)
  141. 94108 4022675259 (Patrick Demichel, k=21581)
  142. 94519 2336563173 (David Broadhurst, k=2)
  143. 95187 3209306053 (David Broadhurst, k=2)
  144. 97220 6666569447 (Phil Carmody, k=581)
  145. 98126 6975528797 (David Broadhurst, k=2)
  146. 98975 0196888487 (David Broadhurst, k=1)
  147. 99396 0000099397 (David Broadhurst, k=2)

Phil Carmody is organizing a distributed computing project in order to find more factors of Googolplex + 10. If you like these pages I would appreciate that you donate some idle cycles of your computer. You will be cited as the discoverer of the factors you find.