J. Pintz

most citedSmall gaps between primes or almost primes

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

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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 $p_{n}$ denote the $n^{t h}$ prime. Goldston, Pintz, and Yildirim recently proved that $lim inf_{n \to \infty} \frac{( p _{n + 1} - p _{n} )}{l o g p _{n}} = 0.$ 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 $p_{n}$ the $n$ th pri…