[math-fun] New Mersenne prime, exponent 30,402,457
There's a new Mersenne prime, 2 ^ 30,402,457 - 1. 9.2 million digits. More details at www.mersenne.org. Rich
Thanks, Rich -- I've added it to UPINT A3. Readers may be interested in the last several entries where g = e^gamma * log M and the log is to base 2. R. 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 On Thu, 29 Dec 2005, Schroeppel, Richard wrote:
There's a new Mersenne prime, 2 ^ 30,402,457 - 1. 9.2 million digits. More details at www.mersenne.org.
Rich _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
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
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@research.att.com> To: "math-fun" <math-fun@mailman.xmission.com>; "math-fun" <math-fun@mailman.xmission.com> Cc: "Richard Schroeppel" <rcs@cs.arizona.edu>; <njas@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@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
participants (4)
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N. J. A. Sloane -
Richard Guy -
Schroeppel, Richard -
wouter meeussen