Known 17-digit prime factors of Googolplex - 10

  1. Alpertron
  2. Number Theory
  3. Known 17-digit prime factors of Googolplex − 10

This is a list of known 17-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. 1001528 3926225867 (Phil Carmody, k=1)
  2. 1034738 8422015991 (Phil Carmody, k=115)
  3. 1063774 7343391489 (Phil Carmody, k=128)
  4. 1077853 1883622813 (Phil Carmody, k=94)
  5. 1084805 4138173803 (Phil Carmody, k=9)
  6. 1106050 9059584557 (Phil Carmody, k=26)
  7. 1106720 6747025799 (Phil Carmody, k=1)
  8. 1130019 5508911191 (Phil Carmody, k=805)
  9. 1133983 6584231871 (Phil Carmody, k=65)
  10. 1155591 8677140283 (Phil Carmody, k=19)
  11. 1168336 5453377119 (Phil Carmody, k=1)
  12. 1181100 9329219719 (Phil Carmody, k=1)
  13. 1185054 6665481613 (Phil Carmody, k=2)
  14. 1187365 1373508201 (Dario Alpern, k=1700)
  15. 1204442 1779671117 (Dario Alpern, k=2242)
  16. 1208742 5016741079 (Phil Carmody, k=1)
  17. 1232450 4966620947 (Phil Carmody, k=1)
  18. 1237568 6238497839 (Phil Carmody, k=81)
  19. 1251338 2016149627 (Phil Carmody, k=1)
  20. 1298265 9532506397 (Phil Carmody, k=2)
  21. 1352658 6024142643 (Phil Carmody, k=1)
  22. 1366335 0451501831 (Phil Carmody, k=135)
  23. 1402321 2646093507 (Dario Alpern, k=1847)
  24. 1412894 9574195319 (Phil Carmody, k=1)
  25. 1417944 4771775243 (Phil Carmody, k=1)
  26. 1417945 1708464957 (Phil Carmody, k=2)
  27. 1424342 5375777093 (Dario Alpern, k=2894)
  28. 1424947 0721625547 (Phil Carmody, k=61)
  29. 1425359 4161228479 (Phil Carmody, k=21)
  30. 1430813 0034402163 (Phil Carmody, k=7)
  31. 1443567 8069046323 (Phil Carmody, k=1)
  32. 1488594 7130201467 (Phil Carmody, k=11)
  33. 1493233 6740334597 (Phil Carmody, k=2)
  34. 1500203 4935540077 (Phil Carmody, k=302)
  35. 1505198 0001505199 (Phil Carmody, k=149)
  36. 1526144 0876316031 (Phil Carmody, k=5)
  37. 1546024 7635194911 (Phil Carmody, k=5)
  38. 1579146 2624985871 (Phil Carmody, k=145)
  39. 1619769 4041247933 (Phil Carmody, k=2)
  40. 1628190 7271099083 (Phil Carmody, k=149)
  41. 1655246 9105533159 (Phil Carmody, k=763)
  42. 1689666 0001689667 (Phil Carmody, k=1)
  43. 1711701 8987441827 (Phil Carmody, k=1)
  44. 1723800 6664942867 (Phil Carmody, k=1)
  45. 1735155 8145550039 (Dario Alpern, k=1223)
  46. 1752284 2749865729 (Phil Carmody, k=128)
  47. 1754882 0001754883 (Phil Carmody, k=1)
  48. 1762213 8417603799 (Phil Carmody, k=13)
  49. 1780748 7593111107 (Phil Carmody, k=1)
  50. 1812980 6058793081 (Dario Alpern, k=1180)
  51. 1894262 6244464803 (Phil Carmody, k=89)
  52. 1896930 1843121521 (Phil Carmody, k=40)
  53. 1911044 8559544893 (Phil Carmody, k=346)
  54. 1938122 9801734813 (Phil Carmody, k=2)
  55. 1941390 0517172893 (Phil Carmody, k=2)
  56. 1974678 3443190871 (Phil Carmody, k=15)
  57. 2018320 1742031351 (Phil Carmody, k=725)
  58. 2038079 6296162039 (Phil Carmody, k=1)
  59. 2052245 8419180037 (Phil Carmody, k=86)
  60. 2084590 5680572237 (Phil Carmody, k=2)
  61. 2095607 7189330853 (Phil Carmody, k=2)
  62. 2096016 0103762213 (Phil Carmody, k=2)
  63. 2107934 3741602231 (Phil Carmody, k=35)
  64. 2146320 0002146321 (Phil Carmody, k=40)
  65. 2196632 5684769329 (Phil Carmody, k=568)
  66. 2198285 6811846041 (Dario Alpern, k=2420)
  67. 2220104 4650826427 (Phil Carmody, k=7)
  68. 2232556 1406734479 (Phil Carmody, k=113)
  69. 2239072 8259793437 (Phil Carmody, k=2)
  70. 2252210 5703586667 (Phil Carmody, k=1)
  71. 2292477 1588531919 (Dario Alpern, k=1799)
  72. 2308194 7324180471 (Phil Carmody, k=15)
  73. 2311680 5458942933 (Phil Carmody, k=614)
  74. 2321928 0002321929 (Phil Carmody, k=476)
  75. 2350891 1438563519 (Phil Carmody, k=1)
  76. 2379754 7405116453 (Phil Carmody, k=314)
  77. 2430449 1952738889 (Phil Carmody, k=4)
  78. 2450401 9327378523 (Phil Carmody, k=101)
  79. 2460775 9285149283 (Dario Alpern, k=1719)
  80. 2467179 6988995427 (Phil Carmody, k=1)
  81. 2473211 7360936787 (Phil Carmody, k=1)
  82. 2492779 0402069843 (Phil Carmody, k=7)
  83. 2504377 6361131987 (Phil Carmody, k=27)
  84. 2567605 4557777999 (Phil Carmody, k=1)
  85. 2598141 4503456799 (Phil Carmody, k=1)
  86. 2643185 7204856163 (Phil Carmody, k=1)
  87. 2670800 6563952587 (Phil Carmody, k=1)
  88. 2688478 3963084519 (Phil Carmody, k=1)
  89. 2710822 6157894839 (Phil Carmody, k=881)
  90. 2775602 9092187569 (Phil Carmody, k=8)
  91. 2779725 4515579613 (Phil Carmody, k=602)
  92. 2782163 0718443959 (Phil Carmody, k=53)
  93. 2800048 6838850187 (Dario Alpern, k=1691)
  94. 2808755 8760124329 (Phil Carmody, k=4)
  95. 2889341 9205516361 (Phil Carmody, k=20)
  96. 2894185 9286158453 (Phil Carmody, k=2)
  97. 2906525 9867351599 (Phil Carmody, k=1)
  98. 3020342 7596668723 (Phil Carmody, k=849)
  99. 3086962 4717160241 (Phil Carmody, k=40)
  100. 3098949 0711581359 (Dario Alpern, k=2481)
  101. 3143411 5783996279 (Phil Carmody, k=1)
  102. 3154887 6501319249 (Phil Carmody, k=8)
  103. 3171194 9051955721 (Phil Carmody, k=20)
  104. 3267105 9597552997 (Phil Carmody, k=2)
  105. 3331900 6457478163 (Phil Carmody, k=397)
  106. 3339068 3447295439 (Phil Carmody, k=31)
  107. 3421942 3980162613 (Phil Carmody, k=54)
  108. 3423403 7974883653 (Phil Carmody, k=2)
  109. 3479961 3477785227 (Phil Carmody, k=7)
  110. 3492985 1754860963 (Phil Carmody, k=1)
  111. 3498037 8518877133 (Phil Carmody, k=242)
  112. 3569088 9320957197 (Phil Carmody, k=2)
  113. 3574805 7106142987 (Phil Carmody, k=83)
  114. 3617591 7171877321 (Phil Carmody, k=20)
  115. 3631866 3951988507 (Phil Carmody, k=1)
  116. 3659801 6197698013 (Phil Carmody, k=134)
  117. 3830639 7944476117 (Phil Carmody, k=182)
  118. 3849563 1996589241 (Phil Carmody, k=20)
  119. 3995008 6987874911 (Phil Carmody, k=35)
  120. 4005028 4047250401 (Dario Alpern, k=2800)
  121. 4031886 5711382547 (Phil Carmody, k=717)
  122. 4035165 2194975243 (Phil Carmody, k=17)
  123. 4089422 0242540831 (Phil Carmody, k=5)
  124. 4115455 5387430477 (Phil Carmody, k=2)
  125. 4256053 7581211717 (Phil Carmody, k=278)
  126. 4291877 8628939093 (Phil Carmody, k=346)
  127. 4440256 4106037213 (Phil Carmody, k=262)
  128. 4547835 0214954361 (Phil Carmody, k=380)
  129. 4708520 6933444321 (Dario Alpern, k=2960)
  130. 4797923 6055530363 (Phil Carmody, k=1)
  131. 4803758 2443771757 (Phil Carmody, k=2)
  132. 4822969 0172281399 (Dario Alpern, k=1241)
  133. 4830692 2579088119 (Phil Carmody, k=1)
  134. 4962808 0979627347 (Phil Carmody, k=7)
  135. 4988414 2640451307 (Phil Carmody, k=1)
  136. 5122574 2151655529 (Phil Carmody, k=68)
  137. 5285789 9459276761 (Phil Carmody, k=20)
  138. 5288888 0005288889 (Phil Carmody, k=4)
  139. 5322411 3434002237 (Phil Carmody, k=2)
  140. 5404794 3138226643 (Phil Carmody, k=11)
  141. 5433648 0005433649 (Phil Carmody, k=8)
  142. 5596587 4769512573 (Phil Carmody, k=622)
  143. 5731026 7250482049 (Phil Carmody, k=64)
  144. 5739571 9823051843 (Phil Carmody, k=1)
  145. 5867382 5190893677 (Phil Carmody, k=706)
  146. 6007809 2657465557 (Phil Carmody, k=2)
  147. 6029977 2817648333 (Phil Carmody, k=2)
  148. 6084719 9804878147 (Phil Carmody, k=737)
  149. 6105125 8173446413 (Phil Carmody, k=2)
  150. 6146956 1590305373 (Phil Carmody, k=14)
  151. 6177221 8476996373 (Phil Carmody, k=2)
  152. 6230544 1270021361 (Phil Carmody, k=680)
  153. 6230910 9592681957 (Phil Carmody, k=562)
  154. 6287667 4857660973 (Phil Carmody, k=742)
  155. 6313679 8641872803 (Phil Carmody, k=49)
  156. 6380110 5264781693 (Phil Carmody, k=2)
  157. 6466602 0006466603 (Phil Carmody, k=97)
  158. 6495114 4560950561 (Phil Carmody, k=80)
  159. 6511262 3846109083 (Phil Carmody, k=1)
  160. 6660743 2488557479 (Dario Alpern, k=1631)
  161. 6745261 3019324479 (Phil Carmody, k=1)
  162. 6903839 1088079839 (Phil Carmody, k=1)
  163. 7046523 4793356027 (Phil Carmody, k=117)
  164. 7100958 2348275489 (Phil Carmody, k=496)
  165. 7182521 9992817479 (Phil Carmody, k=711)
  166. 7394549 4051253483 (Phil Carmody, k=7)
  167. 7402338 9237817387 (Phil Carmody, k=17)
  168. 7419635 2082810359 (Phil Carmody, k=1)
  169. 7603998 0642802507 (Phil Carmody, k=31)
  170. 7813614 4160700799 (Phil Carmody, k=1)
  171. 7836651 5057341603 (Phil Carmody, k=637)
  172. 7874735 4865259191 (Phil Carmody, k=5)
  173. 7927761 0997327747 (Phil Carmody, k=1)
  174. 8247459 9488620237 (Phil Carmody, k=106)
  175. 8290896 3170008933 (Phil Carmody, k=2)
  176. 8303843 9991696157 (Phil Carmody, k=822)
  177. 8531260 5211223413 (Phil Carmody, k=2)
  178. 8668979 3398465093 (Phil Carmody, k=2)
  179. 8804635 6314626711 (Phil Carmody, k=455)
  180. 8919511 1802762373 (Phil Carmody, k=74)
  181. 9067316 5553621773 (Phil Carmody, k=2)
  182. 9457521 3898803397 (Phil Carmody, k=2)
  183. 9491050 4299332529 (Phil Carmody, k=8)
  184. 9767692 9883131237 (Phil Carmody, k=2)
  185. 9802791 2141355373 (Phil Carmody, k=2)
  186. 9823017 6599451121 (Phil Carmody, k=840)