mersenneforum.org New largest prime number???
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2003-07-11, 08:17   #1
McBryce

Jun 2003

7 Posts
New largest prime number???

Hi,

I received the mail stated below some minutes ago:

Quote:
 To: primenumbers@yahoogroups.com Subject: [PrimeNumbers] NEW Largest Mersenne Prime!!! Distinguished people of mathematics, My name is Dr. Elphinstone. I have been studying prime numbers for a while. I received my P.H.D. from Duke University in 1982. I have spent the last ten years in seclusion and am ready to reveal my results to all. I have found a theory that amongst other things proves asymptotics for the distribution of prime numbers. I have also developed a new algorithm for proving the primality of mersenne primes. I have found that 2^(395462042351) - 1 is Prime!!! This prime has 119045936895 digits and greatly surpasses the largest prime previously known.
Martin, who is somehow shocked

 2003-07-11, 08:34 #2 Xyzzy     Aug 2002 23×11×97 Posts No mention of proof or methods... No prior messages or history... Conveniently in seclusion the last 10 years... I live next to Duke... If need be I can drop by and look him up...
 2003-07-11, 09:16 #3 Prime Monster     Aug 2002 26010 Posts it would take a P4 @ 3.0GHz 13056706 years, 326 days, 9 hours, 44 minutes to run this "exponent" according to the Benchmark page calculator. The "new" prime has got 119045936895 digits according to the same calculator. ;) heretic
 2003-07-11, 09:48 #4 NickGlover     Aug 2002 Richland, WA 22·3·11 Posts Someone else should feel free to verify this, but I believe 2^395462042351 - 1 has a 52-bit factor, 4103314151433977.
2003-07-11, 10:01   #5
andi314

Nov 2002

2×37 Posts

Quote:
 Someone else should feel free to verify this, but I believe 2^395462042351 - 1 has a 52-bit factor, 4103314151433977.
I just prooved it. The factor divides the mersenne number!!
So sorry Dr. Elphinstone you didnot discover a prime!!!

greetz andi314

2003-07-11, 13:26   #6
ET_
Banned

"Luigi"
Aug 2002
Team Italia

484810 Posts

Quote:
 Someone else should feel free to verify this, but I believe 2^395462042351 - 1 has a 52-bit factor, 4103314151433977.
Which program did you use to factor such a monster?

Luigi

 2003-07-11, 14:09 #7 nomadicus     Jan 2003 North Carolina 2×3×41 Posts I guess this one should be submitted to www.urbanlegends.com with our rebuttle data . . .
2003-07-11, 14:29   #8
andi314

Nov 2002

4A16 Posts

Quote:
 Which program did you use to factor such a monster?

I have written a program with which you can factor big mersenne numbers. It is not as fast as prime95 but the exponent can be as large as you want. If you want i can email it to you.

greetz andi314 :idea:

2003-07-11, 17:13   #9
Gary Edstrom

Oct 2002

5×7 Posts

Quote:
Originally Posted by andi314
Quote:
 Someone else should feel free to verify this, but I believe 2^395462042351 - 1 has a 52-bit factor, 4103314151433977.
I just prooved it. The factor divides the mersenne number!!
So sorry Dr. Elphinstone you didnot discover a prime!!!

greetz andi314
Maybe Dr. Elphinstone will start spamming the Internet like the person who is sending out the "The Uncertainty Principle Is Untenable" spam. I'm sure that many of you have received that one.

2003-07-11, 17:19   #10
eepiccolo

Dec 2002
Frederick County, MD

17216 Posts

Quote:
 Originally Posted by Gary Edstrom Maybe Dr. Elphinstone will start spamming the Internet like the person who is sending out the "The Uncertainty Principle Is Untenable" spam. I'm sure that many of you have received that one.
Obviously, that is what the message is intended to be, more spam.

2003-07-11, 18:21   #11
NickGlover

Aug 2002
Richland, WA

13210 Posts

Quote:
 Originally Posted by ET_ Which program did you use to factor such a monster? Luigi
I wrote a little program in Pari, http://www.parigp-home.de/.

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