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arxiv: 1010.3945 · v1 · pith:QEYWFG6Nnew · submitted 2010-10-19 · 🧮 math.NT

A Note on the Andrica Conjecture

classification 🧮 math.NT
keywords formulasqrtagreementandricaapproximateavailableconjectureconsecutive
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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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