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Twin Primes and Sophie Germain’s Prime Numbers

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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. In a recent article, I prooved a corollary of Clement’s theorem [1]. In this paper, I will proove shortly the link between twin primes and Sophie Germain’s prime numbers.


The Bulletin of Society for Mathematical Services and Standards (Volume 6)
I. Gueye, "Twin Primes and Sophie Germain’s Prime Numbers", The Bulletin of Society for Mathematical Services and Standards, Vol. 6, pp. 1-3, 2013
Online since:
June 2013

Ibrahima GUEYE, A note on the twin primes, South Asian Journal of Mathematics, Volume 2 (2012) Issue 2, pp.159-161.

K. Raja Rama Gandhi, Super six problems on primes, International Journal ofAdvancements in Research & Technology, Volume 2, Issue 1, January-(2013).

PA Clement, Congruences for sets of premiums, American Mathematical Monthly56 (1949), pp.23-25.

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.

Wikipedia, Sophie Germain primes.

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