Dual Breakthroughs in Prime Arithmetic Progressions: Minimal Starters to 16 Terms & Theoretical Optimal Step

[Preprint] This is a preprint version prior to peer review. 本文报道:(1) 10期素数APs与创纪录的小起始数11(比以前小18倍);(2) 16项AP达到理论最小步长9699690(素数的乘积< 16)。所有结果在2^32 prime数据库中得到验证

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-07
DOI
https://doi.org/10.5281/zenodo.16759056
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Dual Breakthroughs in Prime Arithmetic Progressions: Minimal Starters to 16 Terms & Theoretical Optimal Step

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
article

Dual Breakthroughs in Prime Arithmetic Progressions: Minimal Starters to 16 Terms & Theoretical Optimal Step

article en

Abstract

[Preprint] This is a preprint version prior to peer review. 本文报道:(1) 10期素数APs与创纪录的小起始数11(比以前小18倍);(2) 16项AP达到理论最小步长9699690(素数的乘积< 16)。所有结果在2^32 prime数据库中得到验证

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 39%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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Dual Breakthroughs in Prime Arithmetic Progressions: Minimal Starters to 16 Terms & Theoretical Optimal Step · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS