On Maximal Prime Gaps

2026/05/14 by Cheng-TIng Wang
#math.NT

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Abstract

In this paper, we show a new upper bound of prime gaps, that is the gap between a prime number and its consecutive prime number. We show that the gap between a prime number p_n and its consecutive prime number is not larger than (13)/(3)log²p_n. We also show that the result implies the existence of a prime number in a certain type of interval for large enough numbers as a consequence.

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