On the Maximal Gap between Primes
General Mathematics
2025-11-05 v2
Abstract
In this paper, we show some results about the gap between a prime number and its consecutive prime number for large enough prime numbers. We show that the gap between a prime number and its consecutive prime number is not larger than . 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.
Cite
@article{arxiv.2510.17065,
title = {On the Maximal Gap between Primes},
author = {Cheng-Ting Wang},
journal= {arXiv preprint arXiv:2510.17065},
year = {2025}
}
Comments
found a major error in the main theorem, therefore I decided to withdraw before finding a way to repair the proof of the main claim(if possible)