There Are Infinitely Many Prime Twins

fustflum writes "R. F. Arenstorf from Vanderbilt University has presented a 38-page possible proof of the twin-prime conjecture using methods from classical analytic number theory. The paper is on arxiv.org and is freely available to the public. Twin primes are pairs of primes where both p and p + 2 are prime. "It is conjectured that there are an infinite number of twin primes ... but proving this remains one of the most elusive open problems in number theory." More information about twin primes can be found on Mathworld."

Comments

Re:One smart dude

[fatphil]

Slow down!
It's not been reviewed yet.

I'm waiting until Granville, Odlyzko, Mihailescu, or someone similar gives it the thumbs up.
However, it's not obvious tosh, and therefore if it does have flaws it may well be correctible, or at least provide new insight.

The guy certainly _was_ brilliant, but given that he started his peak in the mid-60s, there's no guarantee he's still at it.

FP.

Lehrer

[pjt33]

Have you never heard of Tom Lehrer? If not, shame on you.