These are the largest Mersenne numbers with no factors below
2^32 In NewPGen 2.82. There's about a 1 in a billion chance
that one of them is prime: 2^(Prime Number)-1
Rank # Equation Digits
1 2^4,294,967,291-1 1,292,913,985
2 2^4294967279-1 1292913982
3 2^4294967231-1 1292913967
4 2^4294967197-1 1292913957
5 2^4294967189-1 1292913955
6 2^4294967161-1 1292913946
7 2^4294967143-1 1292913941
8 2^4294967111-1 1292913931
9 2^4294967087-1 1292913924
10 2^4294967029-1 1292913907
11 2^4294966997-1 1292913897
12 2^4294966981-1 1292913892
13 2^4294966943-1 1292913881
14 2^4294966927-1 1292913876
15 2^4294966909-1 1292913870
16 2^4294966877-1 1292913861
17 2^4294966829-1 1292913846
18 2^4294966813-1 1292913842
19 2^4294966769-1 1292913828
20 2^4294966667-1 1292913798
21 2^4294966661-1 1292913796
22 2^4294966657-1 1292913795
23 2^4294966651-1 1292913793
24 2^4294966639-1 1292913789
25 2^4294966619-1 1292913783
26 2^4294966591-1 1292913775
27 2^4294966583-1 1292913772
28 2^4294966553-1 1292913763
29 2^4294966477-1 1292913740
30 2^4294966447-1 1292913731
31 2^4294966441-1 1292913730
32 2^4294966427-1 1292913725
33 2^4294966373-1 1292913709
34 2^4294966367-1 1292913707
35 2^4294966337-1 1292913698
36 2^4294966297-1 1292913686
37 2^4294966243-1 1292913670
38 2^4294966237-1 1292913668
39 2^4294966231-1 1292913666
40 2^4294966217-1 1292913662
41 2^4294966187-1 1292913653
42 2^4294966177-1 1292913650
43 2^4294966163-1 1292913646
44 2^4294966153-1 1292913643
45 2^4294966129-1 1292913636
46 2^4294966121-1 1292913633
47 2^4294966099-1 1292913627
48 2^4294966087-1 1292913623
49 2^4294966073-1 1292913619
50 2^4294966043-1 1292913610
These were tested by Matt Stath in January 2013.
Thanks to Paul Jobling, who developed NewPGen 2.82.
Back to Top Secret Top 50 Primes.