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Old 2018-12-16, 23:58   #55
Prime95
P90 years forever!
 
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Aug 2002
Yeehaw, FL

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For fun, I tweaked wagstaff.c to print the exponents where we "expect" to find the n-th Mersenne prime.

For exponents below 1 billion, Wagstaff et.al. predict just over 57 Mp:

Code:
Predicted Mp: 2, 3, 5, 7, 11, 17, 23, 31, 43, 61, 89, 127, 173, 241, 347, 467, 659, 937, 1297, 1831, 2591, 3617, 5099, 7193, 10133, 14389, 20297, 28687, 40801, 57709, 82007, 116747, 166063, 236479, 336857, 480787, 686639, 981077, 1402361, 2006651, 2873081, 4116617, 5902733, 8467903, 12152233, 17452667, 25078883, 36057451, 51858887, 74631061, 107448193, 154772603, 223029773, 321520513, 463692847, 669004691, 965590643
Final expected Mp: 57.0954
I think we're above the expected number for the first time in 500 years. The 127 to 521 and 216091 to 756839 gaps really set Mersenne searchers back.
Attached Files
File Type: c wagstaff.c (10.8 KB, 201 views)

Last fiddled with by Prime95 on 2018-12-16 at 23:59
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