A. Kourbatov

activity

20132020

most citedMaximal gaps between prime k-tuples: a statistical approach

7 citations · 30 across the 11 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.NT2016★ 2 cited

On the distribution of maximal gaps between primes in residue classes

Alexei Kourbatov

Let $q > r \geq 1$ be coprime positive integers. We empirically study the maximal gaps $G_{q, r} (x)$ between primes $p = q n + r \leq x$ , $n \in N$ . Extensive computations suggest that…

math.NT2016

On the geometric mean of the first n primes

Alexei Kourbatov

Let $p_{n}$ be the $n$ th prime, and consider the sequence $s_{n} = (2 \cdot 3 \dots p_{n})^{1/ n} = (p_{n} #)^{1/ n}$ , the geometric mean of the first $n$ primes. We give a short proof that $p…