40th Prime Mersenne Number?

2003-11-27, 12:56

It has been in the press, but I didn't find the candidate.
It is 2^n -1 for which n?

PrimeCruncher · 2003-11-27, 13:02

Until verification runs are completed to ensure that it is a Mersenne Prime, the exponent will not be released. We've all been waiting to find out...

PrimeCruncher · 2003-11-27, 16:49

George's verification runs will finish December 2. See this thread in the Lounge:

http://www.mersenneforum.org/showthr...&threadid=1420

jinydu · 2003-12-03, 13:45

Quoting www.mersenne.org:

On November 17, 2003 Michael Shafer's computer found the 40th known Mersenne prime, 220,996,011-1! This number "weighs in" at a whopping 6,320,430 decimal digits! This is also the largest known prime number, surpassing GIMPS' last discovery by over 2 million digits.

The number is (2^220996011)-1 and has in fact been verified independently twice.

nomadicus · 2003-12-03, 17:08

That's p=20,996,011
220,996,011 is a little beyond our reach today.

epatka · 2003-12-05, 00:16

According to the German Stern Magazine the new prime number is 2^20 996 011 -1. It has 6 320 430 digits.

http://stern.de/wissenschaft/forschu...16686&nv=hp_rt

The name is Michael Schaefer of the Michigan State University on a standard PC.

PrimeCruncher · 2003-12-05, 01:19

Quote:

Originally posted by epatka
According to the German Stern Magazine the new prime number is 2^20 996 011 -1. It has 6 320 430 digits.

http://stern.de/wissenschaft/forschu...16686&nv=hp_rt

The name is Michael Schaefer of the Michigan State University on a standard PC.

That is correct. The computer that found M40 was a Pentium 4.

jinydu · 2003-12-05, 09:12

Oops, sorry about that typo.

For anyone who wants to know:

# of digits = (p*log[base 10]2) rounded up.

I think

2003-11-27, 12:56	#1
Unregistered 17×331 Posts	40th Prime Mersenne Number? It has been in the press, but I didn't find the candidate. It is 2^n -1 for which n?

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2003-11-27, 13:02	#2
PrimeCruncher Sep 2003 Borg HQ, Delta Quadrant 2×3³×13 Posts	Until verification runs are completed to ensure that it is a Mersenne Prime, the exponent will not be released. We've all been waiting to find out...

2003-11-27, 16:49	#3
PrimeCruncher Sep 2003 Borg HQ, Delta Quadrant 702₁₀ Posts	George's verification runs will finish December 2. See this thread in the Lounge: http://www.mersenneforum.org/showthr...&threadid=1420

2003-12-03, 13:45	#4
jinydu Dec 2003 Hopefully Near M48 2×3×293 Posts	Quoting www.mersenne.org: On November 17, 2003 Michael Shafer's computer found the 40th known Mersenne prime, 220,996,011-1! This number "weighs in" at a whopping 6,320,430 decimal digits! This is also the largest known prime number, surpassing GIMPS' last discovery by over 2 million digits. The number is (2^220996011)-1 and has in fact been verified independently twice.

2003-12-03, 17:08	#5
nomadicus Jan 2003 North Carolina 246₁₀ Posts	That's p=20,996,011 220,996,011 is a little beyond our reach today.

2003-12-05, 00:16	#6
epatka Jun 2003 100000₂ Posts	According to the German Stern Magazine the new prime number is 2^20 996 011 -1. It has 6 320 430 digits. http://stern.de/wissenschaft/forschu...16686&nv=hp_rt The name is Michael Schaefer of the Michigan State University on a standard PC.

2003-12-05, 09:12	#8
jinydu Dec 2003 Hopefully Near M48 1758₁₀ Posts	Oops, sorry about that typo. For anyone who wants to know: # of digits = (p*log[base 10]2) rounded up. I think