Known 10-digit prime factors of Googolplex + 10

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

This is a list of known 10-digit prime factors of googolplex + 10, i.e., 10^{10^100} + 10.

These numbers have the form 1 + 2k ∏_i p_i^e_i, where p_i is a prime factor of 10¹⁰⁰ − 1 and e_i 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. 1010189899 (k=1)
2. 1026777179 (k=23989)
3. 1212012121 (k=20)
4. 1327067281 (k=66360)
5. 1389605779 (k=1)
6. 1513249321 (k=20)
7. 1600939891 (k=80055)
8. 1812038779 (k=361)
9. 1908247339 (k=1)
10. 2003166331 (k=5)
11. 2178217823 (k=1)
12. 2263591333 (k=35514)
13. 2360898013 (k=2)
14. 2423044339 (k=13)
15. 2529581209 (k=28)
16. 2549501131 (k=1805)
17. 2596707367 (k=1)
18. 2639680943 (k=1)
19. 2663910877 (k=46)
20. 2938463441 (k=920)
21. 3075247969 (k=208)
22. 3224899459 (k=1)
23. 3243148063 (k=7)
24. 3380099533 (k=2)
25. 3393235117 (k=6742)
26. 3573835051 (k=117925)
27. 3702749689 (k=4516)
28. 4323858041 (k=20)
29. 4479808339 (k=1)
30. 4659700651 (k=25)
31. 5000900077 (k=12982)
32. 5199919957 (k=6342)
33. 5213439677 (k=10385338)
34. 5350164397 (k=166)
35. 5740562521 (k=140)
36. 5741674291 (k=5)
37. 5952283703 (k=1151)
38. 6061260613 (k=2)
39. 6314618773 (k=154)
40. 6502628663 (k=1)
41. 7032247423 (k=167)
42. 7093127053 (k=35823874)
43. 7283536921 (k=135740)
44. 7453874539 (k=1)
45. 8282811637 (k=2)
46. 8506071733 (k=2)
47. 8534502967 (k=1)
48. 8747845129 (k=437436)
49. 9150964237 (k=2)
50. 9332306677 (k=42)

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.