Simple Proof of the Hardy–littlewood Conjecture

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Submitted: June 11, 2025
Published: Sep 10, 2025
Updated: 2025-09-10
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2025-09-10 (2)
DOI: 10.17352/amp.000153
Keywords:
Goldbach’s ternary (weak) conjecture, Hardy–littlewood conjecture, Number theory, Prime numbers

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Mohamed Amine Chebba
Laboratory of Mathematical Analysis, Algebra and Applications, Faculty of Sciences Ain Chock, Hassan II University, B.P. 5366 Maarif, Casablanca, Morocco

Abstract

Abstract


The Hardy–Littlewood conjecture suggests that every odd integer 2n + 1 greater than or equal to 7 is the sum of three prime numbers, two of which are equal. In this paper, we present a simple approach that attempts to prove this conjecture.

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Chebba, M. A. (2025). Simple Proof of the Hardy–littlewood Conjecture. Annals of Mathematics and Physics, 8(3), 094–095. https://doi.org/10.17352/amp.000153 (Original work published June 20, 2025)
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Copyright (c) 2025 Chebba MA.

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