PreprintarXiv licencearXiv
On Maximal Prime Gaps
Abstract
In this paper, we show that the gap between a prime number pn and its consecutive prime pn+1 is on the order of log2pn; consequently, we show the existence of a prime in certain types of intervals.
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BibTeX
@misc{wang2026maximal,
title = {{On Maximal Prime Gaps}},
author = {Cheng-TIng Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.14871},
eprint = {2605.14871},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.14871},
}
RIS
TY - UNPB
TI - On Maximal Prime Gaps
AU - Cheng-TIng Wang
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2605.14871
UR - https://arxiv.org/abs/2605.14871
AB - In this paper, we show that the gap between a prime number p_n and its consecutive prime p_n+1 is on the order of log^2p_n; consequently, we show the existence of a prime in certain types of intervals.
ER -