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Chris Card 2005-05-26 11:44

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


Can anyone expand on what the breakthrough is?


Dougy 2005-05-26 14:18

Interesting results.
See the following link for a basic description of Goldston's work.
[URL=]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=]The shame of it[/URL]

Goldston claims that the error is now fixed.
[URL=]Goldston's Mathpage[/URL]

Here is the preprint of their paper.
[URL=]Small Gaps between Primes Exist[/URL]

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