For two millennia, the prime numbers have continued to fascinate mathematicians. Indeed, a conjecture which dates back to this period states that the number of twin primes is infinite. In 1949 Clement showed a theorem on twin primes. For the record, the theorem of Clement has quickly been known to be ineffective in the development of twin primes because of the factorial. This is why I thought ofusing the additive theory of numbers to find pairs of twin primes from the first two pairs of twin primes. What I have formulated as a conjecture. In same time i presentmy idea about the solution of the Goldbach’s weak conjecture.

Periodical:

The Bulletin of Society for Mathematical Services and Standards (Volume 5)

Pages:

27-30

Citation:

I. Gueye, "Conjecture in Additive Twin Primes Numbers Theory", The Bulletin of Society for Mathematical Services and Standards, Vol. 5, pp. 27-30, 2013

Online since:

March 2013

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Open Access

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Creative Commons Attribution 4.0 International License

References:

Davide Castelvecchi, In Their Prime: Mathematicians Come Closer to Solving Goldbach's Weak Conjecture [archive], Scientific American, May 11, (2012).

Deshouillers, Effinger, Te Riele et Zinoviev, « A complete Vinogradov 3-primes theorem under the Riemann hypothesis », Electronic Research Announcements of the American Mathematical Society, Vol 3, pp.99-104 (1997).

K. Raja Rama Gandhi, Super six problems on primes, International Journal of Advancements in Research & Technology, Volume 2, Issue1, January-2013 http: /www. ijoart. org/docs/Supersix-problems-on-Primes. pdf.

PA Clement, Congruences for sets of premiums, American Mathematical Monthly 56 (1949), pp.23-25.

Terence Tao, University of California, Los Angeles Mahler Lecture Series.

Viggo Brun, Series 1/5 + 1/7 + 1/11 + 1/13 + 1/17 + 1/19 + 1/29 + 1/31 + 1/41 +1/43 + 1/59 + 1/61 + .. where denominators are twin primes, is convergent or over, Bulletin of Mathematical Sciences 43 (1919), pp.100-104 and 124-128.

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