[ekzfaacc] first differences of prime indices of known Mersenne prime exponents

OEIS A135701

previously.

the lists below were computed from the known Mersenne primes as of March 2026.  the last few entries might be incorrect because there might be more Mersenne primes in untested gaps before the largest known Mersenne prime.

in decimal:

1. 1
2. 1
3. 1
4. 2
5. 1
6. 1
7. 3
8. 7
9. 6
10. 4
11. 3
12. 67
13. 13
14. 96
15. 121
16. 11
17. 116
18. 128
19. 19
20. 594
21. 30
22. 131
23. 897
24. 181
25. 156
26. 2033
27. 3760
28. 2105
29. 1842
30. 6961
31. 41453
32. 7556
33. 28716
34. 9974
35. 108217
36. 3031
37. 256669
38. 402707
39. 452111
40. 179537
41. 113178
42. 258898
43. 126198
44. 263183
45. 313608
46. 26616
47. 833014
48. 906643
49. 166801
50. 294338
51. 2901904

in binary, substituting lower case letter o for zero to make the digits easier to distinguish by height (unless your font does lowercase numeral 1):

1. 1
1o. 1
11. 1
1oo. 1o
1o1. 1
11o. 1
111. 11
1ooo. 111
1oo1. 11o
1o1o. 1oo
1o11. 11
11oo. 1oooo11
11o1. 11o1
111o. 11ooooo
1111. 1111oo1
1oooo. 1o11
1ooo1. 111o1oo
1oo1o. 1ooooooo
1oo11. 1oo11
1o1oo. 1oo1o1oo1o
1o1o1. 1111o
1o11o. 1ooooo11
1o111. 111oooooo1
11ooo. 1o11o1o1
11oo1. 1oo111oo
11o1o. 1111111ooo1
11o11. 111o1o11oooo
111oo. 1ooooo111oo1
111o1. 111oo11oo1o
1111o. 11o11oo11ooo1
11111. 1o1oooo1111o11o1
1ooooo. 111o11oooo1oo
1oooo1. 111oooooo1o11oo
1ooo1o. 1oo11o1111o11o
1ooo11. 11o1oo11o1o111oo1
1oo1oo. 1o1111o1o111
1oo1o1. 11111o1o1o1oo111o1
1oo11o. 11ooo1oo1o1ooo1oo11
1oo111. 11o111oo11ooooo1111
1o1ooo. 1o1o1111o1o1o1ooo1
1o1oo1. 11o111o1oooo11o1o
1o1o1o. 111111oo11o1o1oo1o
1o1o11. 1111o11oo1111o11o
1o11oo. 1ooooooo1oooooo1111
1o11o1. 1oo11oo1oo1oooo1ooo
1o111o. 11oo11111111ooo
1o1111. 11oo1o11o1o11111o11o
11oooo. 11o111o1o1o11oo1oo11
11ooo1. 1o1ooo1o111oo1ooo1
11oo1o. 1ooo11111o111oooo1o
11oo11. 1o11ooo1ooo1111oo1oooo

791 bits including line numbers.  542 bits without.