(M48) NEW MERSENNE PRIME! LARGEST PRIME NUMBER DISCOVERED!

[NBtarheel_33]

Just for reference, to compare with M43112609 at 12,978,189 digits:

 
Millions of Digits     ||     Approximate Exponent Size
-------------------------------------------------------
 
           13                             43,185,000 
           14                             46,507,000
           15                             49,829,000
           16                             53,151,000
           17                             56,473,000
           18                             59,795,000
           19                             63,117,000
           20                             66,439,000

My guess is that the new prime weighs in between 16-18 million digits.

[LaurV]

Wow! That is really good news! And motivation for us to continue, we were a bit depressed after so long dry period...

Congrats to the founders!

Eagerly waiting to see the exponent.

(thinking it makes no sense to offer the services for checking, there are faster and more reliable guys there, but if you are in hurry and need a CuLu fast result - like 50 hours - then count me in. OTOH, we waited years... one week more wont kill anybody).

[djf4044]

I have a 590GTX coupled with a i7-3930k. I'd be willing to double check but uh I am a noob so feel free to walk me through it :)

[NBtarheel_33]

If this discovery turns out, and given curtisc's rep, it has a 99.95% chance of doing so, we will add a couple of lines to the milestones page.

Will probably be deep into the Roaring Twenties before we double-check everything under this new baby, though...

[NBtarheel_33]

Originally Posted by djf4044

I have a 590GTX coupled with a i7-3930k. I'd be willing to double check but uh I am a noob so feel free to walk me through it :)

Send a Private Message (PM) to George, or e-mail him to see if he still needs verifiers:

[aketilander]

It would be very nice if the information about other work done on this new Mersenne prime exponent were not ereased from the database. I guess it would be nice for those who earlier did trial factoring on the exponent to notice this and get the feeling that they also contributed to the new discovery.

[ATH]

Any big iron or GTX 580/590 started verifying yet?

[flashjh]

George is waiting to see if he can get the save file first. We'll know more by tonight.

[Prime95]

I don't have the save file yet. Heck, the PC might be locked in some University Administrator's office until Monday morning. So, I'm letting flashjh start his CUDALucas run.

Ernst/Batalov are working on a multi-threaded Mlucas run.

Jeff Gilchrist has started a prime95 AVX run (the prime was found on an SSE2 Core2 machine).

[henryzz]

I though we needed 2 non-x86 runs last time. The gpu run is one. Do we need another?

[Prime95]

Originally Posted by henryzz

I though we needed 2 non-x86 runs last time. The gpu run is one. Do we need another?

I think I've only ever *required* one different-hardware-different-software run. More just adds weight to the claim.

I'd be willing to reduce that to different software on the same hardware type. Personally I'd accept Ernst's Mlucas run on an x86 machine because as an LL / FFT programmer I know it would be virtually impossible for a previously unknown CPU bug to cause two different LL programs to fail with a false prime report.

The whole concept of "when is a new prime considered independently verified" is kind of interesting. How important is the reputation of the verifier? Do GIMPS' claims require less independent verification because of its past track record (or equivalently does a unknown newcomer require a more thorough verification)? How much does the open source nature of the GIMPS and Mlucas software help a claim? How important is the claimant's ability to describe the process / algorithms used?

I know I wouldn't trust a new claim by any of the cranks in the Misc Math subforum if it was independently verified by Joe Blow, John Doe and 10 other no-name individuals -- at least not until I reran the test myself.