Twin primes again

Chris Card · 2005-05-26, 11:44

I just noticed this article in today's Guardian:

http://www.guardian.co.uk/internatio...492331,00.html

Can anyone expand on what the breakthrough is?

Chris

Dougy · 2005-05-26, 14:18

See the following link for a basic description of Goldston's work.
Small gaps between consecutive primes

It seems that Goldston's (et al) claim was made in 2003, and a 'technical error' turned up.
The shame of it

Goldston claims that the error is now fixed.
Goldston's Mathpage

Here is the preprint of their paper.
Small Gaps between Primes Exist

2005-05-26, 11:44	#1
Chris Card Aug 2004 2·5·13 Posts	Twin primes again I just noticed this article in today's Guardian: http://www.guardian.co.uk/internatio...492331,00.html Can anyone expand on what the breakthrough is? Chris

2005-05-26, 14:18	#2
Dougy Aug 2004 Melbourne, Australia 2³·19 Posts	Interesting results. See the following link for a basic description of Goldston's work. Small gaps between consecutive primes It seems that Goldston's (et al) claim was made in 2003, and a 'technical error' turned up. The shame of it Goldston claims that the error is now fixed. Goldston's Mathpage Here is the preprint of their paper. Small Gaps between Primes Exist

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