Small gaps between primes · HackerPapers discussions

Small gaps between primes — mentioned by fspeech

Wed, 20 Nov 2013 16:51:42 GMT

Okay it appears that you and several others have not read the preprint paper. The article's wording is a bit confusing but if you think carefully you'd realize that a later work can not be independent of an earlier well known result. The article does have a link to Maynard's preprint: http://arxiv.org/pdf/1311.4600v1.pdf Here is an expert overview of the situation: http://www.dms.umontreal.ca/~andrew/CEBBrochureFinal.pdf "In April 2013, Yitang Zhang proved the existence of a nite bound B such that there are in nitely many pairs of distinct primes which di er by no more than B. This is a…

Paper and discussion history. A mention is not an endorsement.

Small gaps between primes — mentioned by mrcactu5

Wed, 20 Nov 2013 15:55:15 GMT

I knew about the Wiki http://michaelnielsen.org/polymath1/index.php?title=Bounded_... However, I did not know about the solo paper http://arxiv.org/abs/1311.4600 In their celebrated paper [5], Goldston, Pintz and Yıldırım introduced a new method for counting tuples of primes, and this allowed them to show that [eq 1.1] The recent breakthrough of Zhang [9] managed to extend this work to prove [eq 1.2] "Sieve methods" say integer properties like divisibility are essentially random. This is how we can show two integer randomly chosen are relativley prime with probabilty pi²/6= 0.608...…

Paper and discussion history. A mention is not an endorsement.