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A Note on the Andrica Conjecture

Published 19 Oct 2010 in math.NT | (1010.3945v1)

Abstract: 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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