Perhaps I shdve sent this to others than Neil. R. ---------- Forwarded message ---------- Date: Fri, 30 Dec 2005 13:21:33 -0700 (MST) From: Richard Guy <rkg@cpsc.ucalgary.ca> To: N. J. A. Sloane <njas@research.att.com> Subject: Re: copy It may be that the 38th is the last one to be certain (that there are no smaller others). Later: I've just cribbed the following from the status page of GIMPS. Evidently there is still some chance of finding another before what is suspected to be the 40th. R. All exponents below 11,145,000 have been tested and double-checked. All exponents below 16,693,000 have been tested at least once. 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 On Fri, 30 Dec 2005, N. J. A. Sloane wrote:
sorry Richard , I meant to copy this to you.
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