[math-fun] New Mersenne prime, exponent 30,402,457

[wouter meeussen]

go to http://mersenne.org/status.htm
# Countdown to testing all exponents below M(20996011) once: 448
# Countdown to testing all exponents below M(24036583) once: 2,337
# Countdown to testing all exponents below M(25964951) once: 6,286
# Countdown to testing all exponents below M(30402457) once: 43,294
# Countdown to proving M(13466917) is the 39th Mersenne Prime: 128
# Countdown to proving M(20996011) is the 40th Mersenne Prime: 128,672
# Countdown to proving M(24036583) is the 41st Mersenne Prime: 193,946
# Countdown to proving M(25964951) is the 42nd Mersenne Prime: 235,460
# Countdown to proving M(30402457) is the 43rd Mersenne Prime: 332,615

'proving' means 2 LL tests (double check),
in that sense, the 39th still has a few months to go, since there are only
40 out for LL, and those 40 plus 117 out for double checking.
With only 157 machines assigned to it.

Patience is a virtue. Speed too.

W.

----- Original Message ----- 
From: "N. J. A. Sloane" <njas at research.att.com>
To: "math-fun" <math-fun at mailman.xmission.com>; "math-fun" <math-fun at mailman.xmission.com>
Cc: "Richard Schroeppel" <rcs at cs.arizona.edu>; <njas at research.att.com>
Sent: Friday, December 30, 2005 8:50 PM
Subject: Re: [math-fun] New Mersenne prime, exponent 30,402,457


Richard Guy said:
n   31     32     33      34      35      36      37
M 216091 756839 859433 1257787 1398269 2976221 3021377
g  31.6   34.8   35.1    36.1    36.4    38.3    38.3

n    38      39       40       41       42       43
M 6972593 13466917 20996011 24036583 25964951 30402457
g   40.5    42.2     43.2     43.7     43.9     44.3

Me:  In the entry A000043 I have a comment that says that 13466917 IS the
39-th Mersenne prime.  But is  it really known that 20996011 is the 40th?
In other words, how far has the exhaustive search been taken?

I looked at the GIMPS page but could not (easily) see the answer.

Neil

_______________________________________________
math-fun mailing list
math-fun at mailman.xmission.com
http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun