A Note on the Andrica Conjecture

2010/10/19 by Marek Wolf, Wolf, Marek · 1 citation
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1010.3945

8 pages, 2 figures

arxiv created 2010/10/19 · arxiv updated 2010/10/20

Abstract

We derive heuristically the approximate formula for the difference √p_n+1 - √(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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