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A Conjecture on Large Prime Gaps

by Huan Xiao

Posted: May 26, 2025
Server: Preprints.org
DOI: 10.20944/preprints202505.1939.v1

Abstract

We propose a conjecture on large prime gaps based on Littlewood's oscillatory theorem. While this conjecture is inconsistent with the classical conjecture of Cram\'{e}r, we will provide evidences to this new conjecture on large prime gaps.

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