Re: Length of sequence of consecutive primes starting at 2
From: Phil Carmody (thefatphil_demunged_at_yahoo.co.uk)
Date: 07/20/04
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Date: 20 Jul 2004 22:50:30 +0300
anonymous@mathforum.org (Robert Silverman) writes:
> May I ask why you need ALL the primes? As I stated, at one time or
> another all primes up to about 10^12 have been generated. I doubt if
> ANYONE knows what the largest upper bound truly is. It is at least 10^12.
It's a truly uninteresting factette, but the figure is >6.10^16
Oliveira e Silva's performed a distributed brute-force GC
verifier which I believe generates all primes. I suspect that
the large prime gaps hunters has reached a similar level.
I don't know of any other projects that have any cause to
go as far as that, let alone further. (Nicely's twins/Brun
project doesn't need to generate all primes, only 0+/-1, 12+/-1,
18+/-1 (mod 30), and my GFN sieving only generates a tiny sliver
of the primes up to and beyond 10^17.)
Phil
-- 1st bug in MS win2k source code found after 20 minutes: scanline.cpp 2nd and 3rd bug found after 10 more minutes: gethost.c Both non-exploitable. (The 2nd/3rd ones might be, depending on the CRTL)
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