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Polynomial Characterization of Twin Primes in Function of another Prime

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Abstract:

For two millennia, the prime numbers have continued to fascinatemathematicians. Indeed, a conjecture which dates back to this period states that thenumber of twin primes is infinite. In 1949 Clement showed a theorem on twin primesIn this paper I give the proof of a polynomial characterization of twin primes usingadditive primes number theory.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 5)
Pages:
37-39
DOI:
https://doi.org/10.18052/www.scipress.com/BSMaSS.5.37
Citation:
I. Gueye "Polynomial Characterization of Twin Primes in Function of another Prime", The Bulletin of Society for Mathematical Services and Standards, Vol. 5, pp. 37-39, 2013
Online since:
Mar 2013
Authors:
Ibrahima Gueye
Keywords:
Additive Primes Numbers Theory, Twin Primes
Export:
RIS, BibTeX, Text
Distribution:
Open Access

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

References:

K. Raja Rama Gandhi, Super six problems on primes, International Journal of Advancements in Research & Technology, Volume 2, Issue1, January-(2013).

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

Terence Tao, University of California, Los AngelesMahler 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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