41st Mersenne Prime Found???

Prime95 · 2004-03-06, 16:27

I've received an email claiming discovery of the 41st Mersenne prime!!

Your challenge: guess whether this report is accurate.

Details:

The user apparently used Ernst Mayer's mlucas program. Thus, no
checksums or save files with a few iterations remaining are available.
I've no idea if he used a precompiled binary.
This is the user's first LL test using mlucas.
The user has reported two LL results using prime95.
The exponent is below M#40.
I've started a verification run on our Opteron.

Prime95 · 2004-03-06, 16:31

Dang, "I'm the one you will find M#41" should read "I'm the one who will find M#41".

I can't seem to edit the poll!

PrimeCruncher · 2004-03-06, 18:34

Quote:

Originally Posted by Prime95

I've received an email claiming discovery of the 41st Mersenne prime!!

Your challenge: guess whether this report is accurate.

Details:

The user apparently used Ernst Mayer's mlucas program. Thus, no
checksums or save files with a few iterations remaining are available.
I've no idea if he used a precompiled binary.
This is the user's first LL test using mlucas.
The user has reported two LL results using prime95.
The exponent is below M#40.
I've started a verification run on our Opteron.

Nah, I don't think so. But then I'm naturally suspicious.

garo · 2004-03-06, 20:36

Well it is possible. I'll wait till George performs his verification.

ixfd64 · 2004-03-06, 21:49

Hmm, post the email sent to you, without the actual exponent.

tom11784 · 2004-03-07, 00:16

If it's below M40, is it a double-check or is it within a million of M40?

PrimeCruncher · 2004-03-07, 00:34

Quote:

Originally Posted by Prime95

I've received an email claiming discovery of the 41st Mersenne prime!!

...

The user apparently used Ernst Mayer's mlucas program.

It wasn't found by PrimeNet, maybe cuz its probably not prime.

Prime95 · 2004-03-07, 01:16

Quote:

Originally Posted by ixfd64

Hmm, post the email sent to you, without the actual exponent.

M( 2202817 )C: 87722769297534671 # zeus.(none) @ Thu Nov 27 19:28:47 2003
M( 2202817 )U: 288230376148707783 # zeus.(none) @ Thu Nov 27 20:16:32 2003
M(NNNNNNNN ) is a NEW MERSENNE PRIME!!!
please send e-mail to ewmayer-at-aol.com and woltman-at-alum.mit.edu

Prime95 · 2004-03-07, 01:22

Quote:

Originally Posted by tom11784

If it's below M40, is it a double-check or is it within a million of M40?

It is a first-time test within a million of M40. I'm using the Opteron to verify because the exponent falls in the range where non-SSE2 runs use a smaller FFT size. The user got this exponent from primenet 100 days ago.

I'd be a lot more confident in the claim if this wasn't the user's first mlucas run. The chance of a compilation mistake or mlucas setup mistake is high. I've asked the user for more output files. Ernst says mlucas produces a .stat file with interim residues. If the user has this file and it looks like real residues, then the chance this is a valid claim goes way up.

ixfd64 · 2004-03-07, 02:06

This looks promising!!

Though it's smaller than M#40 (if it's prime), I'm still very excited! :D

After all, 41 known Mersenne primes is better than 40! :)

wblipp · 2004-03-07, 03:41

Quote:

Originally Posted by Prime95

It is a first-time test within a million of M40.

If it's really prime, Mersenne Islands will surge into favor again.

View Poll Results: Is it the 41st Mersenne?
Yes, let's celebrate	14	23.73%
No, I'm the one who will find M#41	23	38.98%
Not sure	22	37.29%
Voters: 59. You may not vote on this poll

2004-03-06, 16:27	#1
Prime95 P90 years forever! Aug 2002 Yeehaw, FL 1110010010100₂ Posts	41st Mersenne Prime Found??? I've received an email claiming discovery of the 41st Mersenne prime!! Your challenge: guess whether this report is accurate. Details: The user apparently used Ernst Mayer's mlucas program. Thus, no checksums or save files with a few iterations remaining are available. I've no idea if he used a precompiled binary. This is the user's first LL test using mlucas. The user has reported two LL results using prime95. The exponent is below M#40. I've started a verification run on our Opteron. Last fiddled with by Prime95 on 2004-03-06 at 16:30

2004-03-07, 02:06	#10
ixfd64 Bemusing Prompter "Danny" Dec 2002 California 3×5×157 Posts	This looks promising!! Though it's smaller than M#40 (if it's prime), I'm still very excited! :D After all, 41 known Mersenne primes is better than 40! :) Last fiddled with by ixfd64 on 2004-03-07 at 02:06

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2004-03-06, 16:31	#2
Prime95 P90 years forever! Aug 2002 Yeehaw, FL 2²×31×59 Posts	Dang, "I'm the one you will find M#41" should read "I'm the one who will find M#41". I can't seem to edit the poll!

2004-03-06, 20:36	#4
garo Aug 2002 Termonfeckin, IE 3·919 Posts	Well it is possible. I'll wait till George performs his verification.

2004-03-06, 21:49	#5
ixfd64 Bemusing Prompter "Danny" Dec 2002 California 3×5×157 Posts	Hmm, post the email sent to you, without the actual exponent.

2004-03-07, 00:16	#6
tom11784 Aug 2003 Upstate NY, USA 2·163 Posts	If it's below M40, is it a double-check or is it within a million of M40?