25266Janos Pintz survey + new results on prime gaps
- Jul 26, 2013http://arxiv.org/abs/1305.6289
Very readable and nice.
Also claims a result I had conjectured here before (I had
outlined a proof using Zhang, but never checked that the proof plan could
really be carried through)
is indeed true: there are infinitely many "de Polignac numbers."
One of the most impressive claims in Pintz's paper is this. Let a "near twin"
prime p be a prime p such that p,q are two primes with p<q<p+70000000.
Then: the near-twin primes contain arbitrarily long arithmetic progressions.
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