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Chris Card 2005-05-26 11:44

Twin primes again
 
I just noticed this article in today's Guardian:

[url]http://www.guardian.co.uk/international/story/0,3604,1492331,00.html[/url]

Can anyone expand on what the breakthrough is?

Chris

Dougy 2005-05-26 14:18

Interesting results.
 
See the following link for a basic description of Goldston's work.
[URL=http://aimath.org/primegaps/goldston_tech/]Small gaps between consecutive primes[/URL]

It seems that Goldston's (et al) claim was made in 2003, and a 'technical error' turned up.
[URL=http://www.maa.org/devlin/devlin_05_03.html]The shame of it[/URL]

Goldston claims that the error is now fixed.
[URL=http://www.math.sjsu.edu/~goldston/publications.htm]Goldston's Mathpage[/URL]

Here is the preprint of their paper.
[URL=http://arxiv.org/pdf/math.NT/0505300.pdf]Small Gaps between Primes Exist[/URL]


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