The Nekobune Difference Property: A New Perspective on k-Tuple Primes

*All mistakes have been fixed Meow ฅ ˳ ͡ ɷ ˳ ͡ ฅ" (This is for Twitter. If you want the real name version I can give it to you on Twitter (@asphalttaiya). NOTE (Correction) In the initial analysis of Pattern 1 ({0,6,8,14,18}), the following errors were identified: - **Sum of Δp_k**: 88,770 (previously miscalculated as 91,930) - **Average **: 5,918.0 - **Error rate vs theory**: 5.31% (was 1.94%) The conclusions remain qualitatively unchanged, but readers should refer to these corrected values. A full revised version will follow.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-04-08
DOI
https://doi.org/10.5281/zenodo.15171339
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

The Nekobune Difference Property: A New Perspective on k-Tuple Primes

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

The Nekobune Difference Property: A New Perspective on k-Tuple Primes

article en

Abstract

*All mistakes have been fixed Meow ฅ ˳ ͡ ɷ ˳ ͡ ฅ" (This is for Twitter. If you want the real name version I can give it to you on Twitter (@asphalttaiya). NOTE (Correction) In the initial analysis of Pattern 1 ({0,6,8,14,18}), the following errors were identified: - **Sum of Δp_k**: 88,770 (previously miscalculated as 91,930) - **Average **: 5,918.0 - **Error rate vs theory**: 5.31% (was 1.94%) The conclusions remain qualitatively unchanged, but readers should refer to these corrected values. A full revised version will follow.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 44%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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The Nekobune Difference Property: A New Perspective on k-Tuple Primes · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS