A Conjecture on Large Prime Gaps

  1. Huan Xiao
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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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  1. Version published to 10.20944/preprints202505.1939.v1