hermann on Sat, 16 Nov 2024 20:51:33 +0100 |
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Re: PARI/GP timings for operations on biggest known 41,024,320 decimal digit prime |
On 2024-11-16 18:13, G. M.-S. wrote:
First, for me M_n is the n-th Mersenne prime, and not 2^n-1.Well, presently nobody knows if 2^136279841-1 is the 52nd Mersenne prime…
You are right, but we know that 2^136279841-1 is a Mersenne prime. All Mersenne primes are known up to M_48. The next four have a question mark because lower Mersenne prime might exist: https://t5k.org/primes/lists/all.txt ... rank description digits who year comment----- ------------------------------- -------- ----- ---- --------------
1b 2^136279841-1 41024320 MP1 2024 Mersenne 52?? 2 2^82589933-1 24862048 G16 2018 Mersenne 51?? 3 2^77232917-1 23249425 G15 2018 Mersenne 50?? 4 2^74207281-1 22338618 G14 2016 Mersenne 49?? 5 2^57885161-1 17425170 G13 2013 Mersenne 48 6 2^43112609-1 12978189 G10 2008 Mersenne 47 ...I asked and chances seem to be very low that 2^136279841-1 is not 52nd Mersenne prime:
https://www.mersenneforum.org/node/1060723#post1060782 Regards, Hermann.