Known 14-digit prime factors of Googolplex - 10

  1. Alpertron
  2. Number Theory
  3. Known 14-digit prime factors of Googolplex − 10

This is a list of known 14-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. 1002 9667035169 (Phil Carmody, k=176)
  2. 1011 7993132831 (Phil Carmody, k=5)
  3. 1044 9260589277 (Phil Carmody, k=142)
  4. 1047 4162731001 (Dario Alpern, k=4500)
  5. 1074 4354843597 (Phil Carmody, k=2)
  6. 1080 1188119893 (Phil Carmody, k=2)
  7. 1095 6644245999 (Phil Carmody, k=1)
  8. 1099 7777776679 (Phil Carmody, k=49)
  9. 1122 4444443323 (Phil Carmody, k=1)
  10. 1137 0417919039 (Dario Alpern, k=30201)
  11. +11397679221347 (Dario Alpern) (k=24208043)
  12. 1144 1697415831 (Dario Alpern, k=1535)
  13. 1167 1485149683 (Dario Alpern, k=6549)
  14. 1222 9700747773 (Phil Carmody, k=2)
  15. 1254 9840097147 (Phil Carmody, k=1)
  16. 1258 8837310369 (Phil Carmody, k=16)
  17. 1260 5298010801 (Dario Alpern, k=27800)
  18. 1292 2375268683 (Phil Carmody, k=89)
  19. 1295 4523280227 (Phil Carmody, k=1)
  20. 1313 8078343107 (Phil Carmody, k=1)
  21. 1321 7312557769 (Phil Carmody, k=4)
  22. 1375 6949568121 (Phil Carmody, k=20)
  23. 1391 5057894643 (Phil Carmody, k=1)
  24. 1413 5024115013 (Phil Carmody, k=82)
  25. 1450 0626992281 (Phil Carmody, k=260)
  26. 1483 4298686959 (Phil Carmody, k=1)
  27. 1501 1027458957 (Phil Carmody, k=2)
  28. 1515 4171453081 (Dario Alpern, k=31060)
  29. 1516 4009623471 (Dario Alpern, k=470495)
  30. 1575 6779212747 (Dario Alpern, k=34411)
  31. 1587 1671783787 (Phil Carmody, k=91)
  32. 1611 4586529277 (Phil Carmody, k=2)
  33. 1643 7865626671 (Phil Carmody, k=335)
  34. 1695 1287130409 (Phil Carmody, k=4)
  35. 1700 8696244453 (Dario Alpern, k=43226)
  36. 1730 8493066107 (Dario Alpern, k=422117)
  37. 1743 1705809631 (Dario Alpern, k=1785)
  38. 1799 0910285409 (Phil Carmody, k=16)
  39. 1800 3564358237 (Phil Carmody, k=2)
  40. 1828 2541372759 (Dario Alpern, k=1521)
  41. 1830 8569468031 (Dario Alpern, k=1615)
  42. 1885 3333331449 (Phil Carmody, k=28)
  43. 1902 1384072573 (Dario Alpern, k=216202)
  44. 1943 0211204889 (Dario Alpern, k=306788)
  45. 1949 9806399987 (Phil Carmody, k=317)
  46. 1962 8948487523 (Dario Alpern, k=130337)
  47. 1982 3575263209 (Phil Carmody, k=4)
  48. 2012 3228299039 (Phil Carmody, k=43)
  49. 2028 3649363711 (Dario Alpern, k=5295)
  50. 2079 5406461077 (Phil Carmody, k=26)
  51. 2103 8399347237 (Phil Carmody, k=146)
  52. 2129 9269790569 (Phil Carmody, k=28)
  53. 2136 0044343763 (Phil Carmody, k=19)
  54. 2168 0000002169 (Phil Carmody, k=4)
  55. 2173 0243355173 (Dario Alpern, k=529954)
  56. 2221 2227948671 (Phil Carmody, k=15)
  57. 2232 8401258439 (Phil Carmody, k=19)
  58. 2246 8171045277 (Dario Alpern, k=890858)
  59. 2276 8556068277 (Phil Carmody, k=58)
  60. 2309 7965714959 (Phil Carmody, k=73)
  61. 2311 5345081841 (Dario Alpern, k=1080)
  62. 2327 3589588283 (Phil Carmody, k=9)
  63. 2360 6666664307 (Phil Carmody, k=1)
  64. 2363 5028047357 (Phil Carmody, k=2)
  65. 2444 2716189907 (Phil Carmody, k=7)
  66. 2456 9513038129 (Dario Alpern, k=17768)
  67. 2498 1451601437 (Phil Carmody, k=2)
  68. 2504 2108896293 (Dario Alpern, k=1006)
  69. 2519 2912330147 (Phil Carmody, k=11)
  70. 2572 1857576999 (Phil Carmody, k=1)
  71. 2611 3378899133 (Dario Alpern, k=2674)
  72. 2616 7276960039 (Phil Carmody, k=1)
  73. 2695 2536849947 (Dario Alpern, k=19301)
  74. 2705 4991130311 (Phil Carmody, k=195)
  75. 2715 0625067173 (Phil Carmody, k=2)
  76. 2757 7773329893 (Phil Carmody, k=2)
  77. 2846 3636360791 (Phil Carmody, k=155)
  78. 3130 0285016243 (Phil Carmody, k=1)
  79. 3151 4596332187 (Phil Carmody, k=1)
  80. 3205 1637440443 (Dario Alpern, k=3259)
  81. 3219 4385740639 (Phil Carmody, k=1)
  82. 3307 8515376853 (Dario Alpern, k=3214)
  83. 3310 9234525399 (Phil Carmody, k=113)
  84. 3311 7074912893 (Phil Carmody, k=2)
  85. 3330 0854709427 (Phil Carmody, k=57)
  86. 3330 4569242363 (Phil Carmody, k=31)
  87. 3337 5236706043 (Phil Carmody, k=7)
  88. 3630 0480511333 (Dario Alpern, k=9322)
  89. 3785 8151822653 (Phil Carmody, k=14)
  90. 3855 0844224289 (Dario Alpern, k=202896)
  91. 3896 9373775921 (Dario Alpern, k=310520)
  92. 3898 0228809307 (Phil Carmody, k=1)
  93. 3935 0233523239 (Dario Alpern, k=110993)
  94. 3942 1914183559 (Phil Carmody, k=1)
  95. 3989 2491804427 (Phil Carmody, k=1)
  96. 4047 5615373133 (Phil Carmody, k=2)
  97. 4072 5937600759 (Phil Carmody, k=1)
  98. 4165 7905265563 (Dario Alpern, k=1329)
  99. +42084023612467 (Dario Alpern) (k=2352903031)
  100. 4225 3234873169 (Dario Alpern, k=357544)
  101. 4230 1336866289 (Phil Carmody, k=8)
  102. 4284 3204889321 (Phil Carmody, k=20)
  103. 4390 5590835151 (Phil Carmody, k=25)
  104. 4500 3972457519 (Dario Alpern, k=1235653)
  105. 4533 5512040347 (Phil Carmody, k=737)
  106. 4696 9306935391 (Phil Carmody, k=105)
  107. 4721 3333328613 (Phil Carmody, k=2)
  108. 4772 1493513627 (Phil Carmody, k=1)
  109. 4954 5097801387 (Dario Alpern, k=7081)
  110. 5003 6758196521 (Phil Carmody, k=20)
  111. 5071 6335483481 (Phil Carmody, k=380)
  112. +51009107995333 (Dario Alpern) (k=19519354)
  113. 5236 8993381277 (Phil Carmody, k=442)
  114. +52841127104839 (Dario Alpern) (k=581195441)
  115. 5284 8298963387 (Phil Carmody, k=47)
  116. 5373 6105410227 (Phil Carmody, k=127)
  117. 5386 1273207347 (Phil Carmody, k=1)
  118. 5489 2796522477 (Phil Carmody, k=538)
  119. +57263882290969 (Dario Alpern) (k=158799028)
  120. +58377106066933 (Dario Alpern) (k=915891714)
  121. 5968 8263876671 (Phil Carmody, k=65)
  122. 6290 9876620147 (Phil Carmody, k=431)
  123. 6323 3204363479 (Dario Alpern, k=1425631)
  124. 6391 4918827693 (Phil Carmody, k=2)
  125. 6446 0852999119 (Phil Carmody, k=1)
  126. 6485 8519178707 (Phil Carmody, k=1)
  127. 6578 7556953031 (Dario Alpern, k=959005)
  128. 6625 6854868843 (Phil Carmody, k=37)
  129. 6653 2472318071 (Phil Carmody, k=15)
  130. 6812 4958341637 (Dario Alpern, k=774326)
  131. 6834 7323703963 (Phil Carmody, k=9)
  132. 6966 8455277587 (Phil Carmody, k=121)
  133. 6984 2443339477 (Phil Carmody, k=2)
  134. 7110 9117738613 (Phil Carmody, k=414)
  135. 7119 7685820809 (Phil Carmody, k=4)
  136. 7389 6792936613 (Phil Carmody, k=2)
  137. 7408 0004579881 (Dario Alpern, k=2033980)
  138. 7468 5567539117 (Phil Carmody, k=38)
  139. 7645 8382174093 (Phil Carmody, k=2)
  140. 7679 2277235403 (Phil Carmody, k=159)
  141. 7681 9965168277 (Phil Carmody, k=2)
  142. 7682 3751850003 (Dario Alpern, k=19379)
  143. 7706 0860976551 (Dario Alpern, k=13175)
  144. 7741 8689643439 (Dario Alpern, k=415363)
  145. 7757 8787871031 (Phil Carmody, k=5)
  146. 7758 7166463907 (Phil Carmody, k=1)
  147. 7920 8712879209 (Phil Carmody, k=4)
  148. 7963 8794404093 (Phil Carmody, k=14)
  149. 8353 5617860399 (Phil Carmody, k=1)
  150. 8522 3206100003 (Phil Carmody, k=1)
  151. 8782 8570023107 (Phil Carmody, k=1)
  152. 8864 9108919757 (Dario Alpern, k=4522)
  153. 8951 6481228947 (Phil Carmody, k=233)
  154. 8999 6151156319 (Dario Alpern, k=78371)
  155. 9153 6147552323 (Phil Carmody, k=361)
  156. 9279 7752318889 (Phil Carmody, k=188)
  157. 9451 0963014253 (Phil Carmody, k=2)
  158. 9548 6825401493 (Dario Alpern, k=1946)
  159. 9645 3764531843 (Phil Carmody, k=1)
  160. 9758 0000009759 (Phil Carmody, k=119)