# 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 + 2ki 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.