Work

Structural Proof of the Infinitude of Twin Primes via Modular Admissibility

Year: 2025

Type: article

Abstract: This paper presents a rigorous and elegant proof of the infinitude of twin primes, i.e.,prime pairs (p, p+2) where both p and p+2 are prime. The method is based on a stablearithmetic structure, the use of a universal sieve, a strictly positive density argument, anda proof by contradiction. An experimental section strengthens the consistency of thereasoning by testing more than 50,000 cases. The result establishes that the set of twinprimes is infinite, thereby addressing one of the oldest unsolved conjectures inmathematics.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.15484650

Author: TOMOWIAK, Samuel

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6912071037

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