Status of the "New Mersenne Conjecture"

Exponent p	p=2^k+/-1 or 4^k+/-3	M_p prime	N_p prime/PRP	NMC verified
2
3
5
7
11
13
17
19
23
31
43
61
67
79
89
101
107
127
167
191
199
257
313
347
521
607
701
1,021
1,279
1,709
2,203
2,281
2,617
3,217
3,539
4,093
4,099
4,253
4,423
5,807
8,191
9,689
9,941
10,501
10,691
11,213
11,279
12,391
14,479
16,381
19,937
21,701
23,209
42,737
44,497
65,537
65,539
83,339
86,243
95,369
110,503
117,239
127,031
131,071
132,049
138,937
141,079
216,091
262,147
267,017
269,987
374,321
524,287
756,839
859,433
1,048,573
1,257,787
1,398,269
2,976,221
3,021,377
4,194,301
6,972,593
13,466,917
16,777,213
24,036,583

Total :

24 prime exponents of the form 2^k+/-1 or 4^k+/-3 up to p=100,000,000
38 Mersenne 2^p-1 primes up to p=12,441,900 (single-checked limit, see GIMPS Status)
39 Wagstaff (2^p+1)/3 primes/PRP up to p=720,000 (Wagstaff records are kept in the PRP Top 5000)

Notes :
- More details are available in the status bar if you move your mouse over the bordered ticks
- You can find further information about the probable prime test I use for Wagstaff primes here
- If you notice a mistake or have a suggestion, please email me :

The NMC is TRUE up to p = 12,441,900.

Created by Renaud Lifchitz (May, 8th 2003)
Last updated : June, 9th 2004