J. Maynard

activity

20122023

most citedVinogradov's theorem with almost equal summands

27 citations · 112 across the 25 of their papers we have counts for

collaborators

Showing 2014 · math.NTShow all

3 papers · 2 filters

math.NT2014★ 13 cited

Long gaps between primes

Kevin Ford, Ben Green, Sergei Konyagin +2

Let $p_{n}$ denotes the $n$ -th prime. We prove that $p_{n + 1} \leq X max (p_{n + 1} - p_{n}) ≫ \frac{lo g X lo g lo g X lo g lo g lo g lo g X}{lo g lo g lo g X}$ for sufficiently large $…

math.NT2014

Dense clusters of primes in subsets

James Maynard

We prove a generalization of the author's work to show that any subset of the primes which is `well-distributed' in arithmetic progressions contains many primes which are close tog…

math.NT2014★ 14 cited

On limit points of the sequence of normalized prime gaps

William D. Banks, Tristan Freiberg, James Maynard

Let $p_{n}$ denote the $n$ th smallest prime number, and let $L$ denote the set of limit points of the sequence ${(p_{n + 1} - p_{n}) / lo g p_{n}}_{n = 1}^{\infty}$ of normali…