most citedSmall gaps between primes or almost primes

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2005

Primes in Tuples I

D. A. Goldston, J. Pintz, C. Y. Yildirim

We introduce a method for showing that there exist prime numbers which are very close together. The method depends on the level of distribution of primes in arithmetic progressions…

math.NT2005★ 2 cited

Small gaps between primes or almost primes

D. A. Goldston, S. W. Graham, J. Pintz +1

Let denote the prime. Goldston, Pintz, and Yildirim recently proved that We give an alternative proof of…

math.NT2005★ 1 cited

Small Gaps between Primes Exist

D. A. Goldston, Y. Motohashi, J. Pintz +1

In the recent preprint [3], Goldston, Pintz, and Yıldırım established, among other things, $$ \liminf_{n\to\infty}{p_{n+1}-p_n\over\log p_n}=0,\leqno(0) $$ with the th pri…