Very small intervals containing at least three primes

Details Very small intervals containing at least three primes Very small intervals containing at least three primes

2009-10-02

arxiv.org/abs/0910.0428v4

Mathematics

Number Theory

3 page. Correction of Corollary 1 (see Remark 1)

Scientific paper

Let $p_n$ is the $n$-th prime. With help of the Cram\'er-like model, we prove
that the set of intervals of the form $(2p_n,\enskip2p_{n+1})$ containing at
list 3 primes has a positive density with respect to the set of all intervals
of such form.

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