Known 16-digit prime factors of Googolplex - 10

  1. Alpertron
  2. Number Theory
  3. Known 16-digit prime factors of Googolplex − 10

This is a list of known 16-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. 104250 4158520093 (Phil Carmody, k=2)
  2. 104529 9065086123 (Phil Carmody, k=7)
  3. 105000 3288127883 (Phil Carmody, k=1)
  4. 105459 6160656919 (Phil Carmody, k=1)
  5. 108799 8808970201 (Phil Carmody, k=100)
  6. 110056 5574302683 (Phil Carmody, k=1)
  7. 111391 6968909163 (Phil Carmody, k=229)
  8. 111843 9999888157 (Phil Carmody, k=2)
  9. 112576 9624167893 (Phil Carmody, k=46)
  10. 116427 9601057037 (Phil Carmody, k=38)
  11. 117050 9231886479 (Phil Carmody, k=139)
  12. 118470 0372894523 (Phil Carmody, k=99)
  13. 124531 9758922951 (Phil Carmody, k=25)
  14. 124836 0615812671 (Phil Carmody, k=95)
  15. 126832 1818054987 (Phil Carmody, k=197)
  16. 127592 3518907599 (Phil Carmody, k=1)
  17. 128778 4693718161 (Phil Carmody, k=760)
  18. 130372 7451956227 (Phil Carmody, k=37)
  19. 131742 8550346591 (Phil Carmody, k=5)
  20. 133332 0000133333 (Phil Carmody, k=2)
  21. 133348 0990232359 (Phil Carmody, k=1)
  22. 134247 7441440169 (Phil Carmody, k=908)
  23. 135957 5284281733 (Phil Carmody, k=14)
  24. 136767 1390704881 (Phil Carmody, k=40)
  25. 137495 5253869591 (Phil Carmody, k=5)
  26. 137785 9130326999 (Phil Carmody, k=1)
  27. 138770 4236230271 (Phil Carmody, k=35)
  28. 139684 8866789521 (Phil Carmody, k=40)
  29. 141781 7554504957 (Phil Carmody, k=2)
  30. 141813 8765980597 (Phil Carmody, k=2)
  31. 146074 3277063431 (Phil Carmody, k=5)
  32. 146565 1306276957 (Phil Carmody, k=2)
  33. 147309 8598520363 (Phil Carmody, k=129)
  34. 150110 2745895601 (Phil Carmody, k=200)
  35. 150665 0313621437 (Phil Carmody, k=38)
  36. 153079 0315950083 (Phil Carmody, k=1)
  37. 157570 9739978441 (Phil Carmody, k=20)
  38. 159331 9282847839 (Dario Alpern, k=2821)
  39. 159787 8063402667 (Phil Carmody, k=1)
  40. 160403 9177991317 (Phil Carmody, k=58)
  41. 162389 5029923437 (Phil Carmody, k=2)
  42. 163371 5758157849 (Phil Carmody, k=4)
  43. 167703 0608682907 (Phil Carmody, k=1)
  44. 169603 3059788359 (Phil Carmody, k=1)
  45. 173285 2617032483 (Phil Carmody, k=1)
  46. 173513 1177283717 (Phil Carmody, k=2)
  47. 175291 2509026907 (Dario Alpern, k=1933)
  48. 183121 1760134483 (Phil Carmody, k=1)
  49. 183341 1803830333 (Phil Carmody, k=2)
  50. 185375 6448544243 (Phil Carmody, k=29)
  51. 190561 3149934849 (Phil Carmody, k=128)
  52. 193222 8540508333 (Phil Carmody, k=22)
  53. 200889 8914476631 (Phil Carmody, k=5)
  54. 201078 2501931083 (Phil Carmody, k=11)
  55. 204105 4753098769 (Phil Carmody, k=8)
  56. 204576 1982695399 (Phil Carmody, k=53)
  57. 208807 8748059307 (Phil Carmody, k=1)
  58. 215122 6248847369 (Phil Carmody, k=28)
  59. 215408 2440360187 (Phil Carmody, k=7)
  60. 219108 6998242267 (Phil Carmody, k=1)
  61. 230001 6724207399 (Phil Carmody, k=651)
  62. 230671 2534117157 (Phil Carmody, k=2)
  63. 232344 9732519529 (Phil Carmody, k=148)
  64. 238207 2564569479 (Phil Carmody, k=23)
  65. 238427 3333094907 (Phil Carmody, k=1)
  66. 242664 3188843773 (Phil Carmody, k=2)
  67. 245030 4076832281 (Phil Carmody, k=60)
  68. 245807 5714770763 (Phil Carmody, k=9)
  69. 245967 6231871387 (Phil Carmody, k=1)
  70. 252373 2958604489 (Phil Carmody, k=4)
  71. 255184 7037815197 (Phil Carmody, k=2)
  72. 256812 0000256813 (Phil Carmody, k=2)
  73. 258419 6899239253 (Phil Carmody, k=2)
  74. 261681 3702605653 (Phil Carmody, k=2)
  75. 268021 0698117679 (Phil Carmody, k=551)
  76. 279252 7317201799 (Phil Carmody, k=1)
  77. 285561 9627918157 (Phil Carmody, k=2)
  78. 286591 5572691013 (Phil Carmody, k=2)
  79. 289389 1392444163 (Phil Carmody, k=47)
  80. 291172 0162614517 (Phil Carmody, k=2)
  81. 297782 9362195843 (Phil Carmody, k=7)
  82. 301229 1164677637 (Dario Alpern, k=1238)
  83. 302036 6666364631 (Dario Alpern, k=1805)
  84. 313751 0103678199 (Phil Carmody, k=31)
  85. 314964 2617902757 (Phil Carmody, k=2)
  86. 317151 4376339083 (Phil Carmody, k=9)
  87. 318577 6077533111 (Phil Carmody, k=5)
  88. 320851 1247017959 (Phil Carmody, k=21)
  89. 324051 7255178191 (Phil Carmody, k=65)
  90. 334024 2611269129 (Phil Carmody, k=36)
  91. 334603 7008035481 (Phil Carmody, k=860)
  92. 339700 6856383603 (Phil Carmody, k=7)
  93. 341681 2907138347 (Phil Carmody, k=1)
  94. 342344 0536088563 (Phil Carmody, k=9)
  95. 343369 6969353601 (Dario Alpern, k=1600)
  96. 347431 7613428707 (Phil Carmody, k=1)
  97. 352780 9940544203 (Phil Carmody, k=1)
  98. 376169 6816741839 (Phil Carmody, k=13)
  99. 395319 9630600991 (Phil Carmody, k=105)
  100. 398166 6341065249 (Phil Carmody, k=16)
  101. 399269 8290640043 (Phil Carmody, k=1)
  102. 404476 1218848277 (Phil Carmody, k=2)
  103. 408442 8573131839 (Phil Carmody, k=43)
  104. 409529 9339488963 (Phil Carmody, k=9)
  105. 430945 4713844677 (Dario Alpern, k=1706)
  106. 436368 0000436369 (Phil Carmody, k=8)
  107. 438217 3996484533 (Phil Carmody, k=2)
  108. 440457 0963414637 (Phil Carmody, k=266)
  109. 446416 0819424107 (Phil Carmody, k=1)
  110. 458352 9509575831 (Phil Carmody, k=5)
  111. 460148 2956141391 (Phil Carmody, k=305)
  112. 465549 7955006557 (Phil Carmody, k=42)
  113. 479456 8143544639 (Phil Carmody, k=1)
  114. 490687 4628455603 (Phil Carmody, k=1)
  115. 499244 2545844997 (Phil Carmody, k=538)
  116. 501521 9826807791 (Phil Carmody, k=145)
  117. 507073 7513956159 (Phil Carmody, k=881)
  118. 519785 4462276547 (Phil Carmody, k=217)
  119. 530115 3868727399 (Phil Carmody, k=29)
  120. 531839 8572653893 (Phil Carmody, k=2)
  121. 537959 7610026403 (Phil Carmody, k=287)
  122. 545573 3003897203 (Phil Carmody, k=39)
  123. 545860 7668738267 (Phil Carmody, k=301)
  124. 555004 5313098133 (Phil Carmody, k=14)
  125. 564319 1675232493 (Phil Carmody, k=62)
  126. 577434 4799488387 (Phil Carmody, k=1)
  127. 578056 5204969889 (Phil Carmody, k=16)
  128. 587840 5647739231 (Phil Carmody, k=5)
  129. 595428 1776385933 (Phil Carmody, k=2)
  130. 607154 1858839293 (Phil Carmody, k=2)
  131. 610457 6350526413 (Phil Carmody, k=2)
  132. 630001 9728767293 (Phil Carmody, k=2)
  133. 633493 0738323769 (Phil Carmody, k=28)
  134. 659340 2926169929 (Dario Alpern, k=2676)
  135. 660339 3445816093 (Phil Carmody, k=2)
  136. 670386 2945100157 (Phil Carmody, k=2)
  137. 697444 5759041707 (Phil Carmody, k=11)
  138. 705589 5480474409 (Phil Carmody, k=68)
  139. 714440 7807436747 (Phil Carmody, k=7)
  140. 724386 0000724387 (Phil Carmody, k=481)
  141. 726759 8753854627 (Phil Carmody, k=87)
  142. 735781 9393203613 (Phil Carmody, k=2)
  143. 738217 3124598427 (Phil Carmody, k=7)
  144. 740853 6035710591 (Phil Carmody, k=5)
  145. 744620 1833484763 (Phil Carmody, k=547)
  146. 747357 6572400733 (Phil Carmody, k=2)
  147. 777271 3968135601 (Phil Carmody, k=200)
  148. 781057 1878038667 (Phil Carmody, k=87)
  149. 783660 9906515413 (Phil Carmody, k=34)
  150. 790036 4443654409 (Phil Carmody, k=4)
  151. 792860 9832343951 (Phil Carmody, k=575)
  152. 805925 6332099039 (Phil Carmody, k=1)
  153. 813482 0904922849 (Phil Carmody, k=16)
  154. 817706 1515503717 (Phil Carmody, k=2)
  155. 836045 9135947249 (Phil Carmody, k=8)
  156. 854651 5783289947 (Phil Carmody, k=7)
  157. 870770 3502055169 (Dario Alpern, k=1664)
  158. 896049 4718434249 (Phil Carmody, k=36)
  159. 907725 5650343893 (Phil Carmody, k=302)
  160. 921839 5820193121 (Phil Carmody, k=240)
  161. 944596 2831627079 (Phil Carmody, k=521)
  162. 946772 0000946773 (Phil Carmody, k=46)
  163. 959250 3114581797 (Phil Carmody, k=86)
  164. 974225 0153686933 (Phil Carmody, k=14)
  165. 980207 8218801991 (Phil Carmody, k=55)
  166. 986537 1582832681 (Dario Alpern, k=1460)
  167. 988953 2457972001 (Dario Alpern, k=2000)
  168. 995580 2084352547 (Phil Carmody, k=1)
  169. 997193 1240444889 (Phil Carmody, k=156)