Bounded gaps between primes — Draconitic Research

Abstract

Polymath8b proved that H₁ = liminf (p_n+1−p_n) ≤ 246. In this paper we show how the Bombieri-Vinogradov theorem can be combined with newer equidistribution estimates for smooth moduli to obtain the improved bound H₁ ≤ 240.

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BibTeX RIS

BibTeX

@misc{stadlmann2026bounded,
  title = {{Bounded gaps between primes}},
  author = {Julia Stadlmann},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.31126},
  eprint = {2608.31126},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.31126},
}

RIS

TY  - UNPB
TI  - Bounded gaps between primes
AU  - Julia Stadlmann
PY  - 2026
DA  - 2026/08/31
PB  - arXiv
DO  - 10.48550/arxiv.2608.31126
UR  - https://arxiv.org/abs/2608.31126
AB  - Polymath8b proved that H_1 = liminf (p_n+1−p_n) ≤ 246. In this paper we show how the Bombieri-Vinogradov theorem can be combined with newer equidistribution estimates for smooth moduli to obtain the improved bound H_1 ≤ 240.
ER  -

Abstract

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