A Note on the Andrica Conjecture

Details A Note on the Andrica Conjecture A Note on the Andrica Conjecture

2010-10-19

arxiv.org/abs/1010.3945v1

Mathematics

Number Theory

8 pages, 2 figures

Scientific paper

We derive heuristically the approximate formula for the difference
$\sqrt{p_{n+1}} - \sqrt{p_n}$, where $p_n$ is the n-th prime. We find perfect
agreement between this formula and the available data from the list of maximal
gaps between consecutive primes.

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