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Towards the Proof of Twin Primes Conjecture: A Modular Characterization

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Abstract:

In this paper we reduce the twin prime conjecture to a simple Euclidean division problem using the Fermat’s little theorem and Bachet-Bezout theorem.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 1)
Pages:
63-66
DOI:
https://doi.org/10.18052/www.scipress.com/BMSA.1.63
Citation:
I. Gueye et al., "Towards the Proof of Twin Primes Conjecture: A Modular Characterization", Bulletin of Mathematical Sciences and Applications, Vol. 1, pp. 63-66, 2012
Online since:
Aug 2012
Authors:
Ibrahima Gueye, Cheikh Ahmadou Bamba Dieng, Papa Ousmane Niass
Keywords:
Bachet-Bézout Theorem, Fermat’s Little Theorem, Twin Primes Conjecture
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Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

Twin Prime Search, Communiqué officiel de la découverte du 15 janvier (2007).

P.A. Clement, Congruences for sets of primes, American Mathematical Monthly n° 56 (1949), pp.23-25.

Viggo Brun, La série 1/5 + 1/7 + 1/11 + 1/13 + 1/17 + 1/19 + 1/29 + 1/31 + 1/41 + 1/43 + 1/59 + 1/61 + .. où les dénominateurs sont nombres premiers jumeaux, est convergente ou finie, Bulletin des Sciences Mathématiques n°43 (1919).

http: /fr. wikipedia. org/wiki/Nombres_premiers_jumeaux.

http: /fr. wikipedia. org/wiki/Th%C3%A9or%C3%A8me_de_Bachet-B%C3%A9zout.

http: /fr. wikipedia. org/wiki/%C3%89quation_diophantienne_ax%2Bby_%3D_c.

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