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arXiv · 1406.2658

On the ratio of consecutive gaps between primes

Janos Pintz
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Abstract

In the present work we prove a common generalization of Maynard-Tao's recent result about consecutive bounded gaps between primes and on the Erd\H{o}s-Rankin bound about large gaps between consecutive primes. The work answers in a strong form a 60 years old problem of Erd\"os, which asked whether the ratio of two consecutive primegaps can be infinitely often arbitrarily small, and arbitrarily large, respectively.

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Janos Pintz. 2014-06-10. On the ratio of consecutive gaps between primes. https://arxiv.org/abs/1406.2658

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