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About an even as the Sum or the Difference of Two Primes

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Abstract:

The present algebraic development begins by an exposition of the data of the problem. The definition of the primal radius r>0 is : For all positive integer x≥3 exists a finite number of integers called the primal radius r>0, for which x+r and x-r are prime numbers. The corollary is that 2x=(x+r)+(x-r) is always the sum of a finite number of primes. Also, for all positive integer x≥0, exists an infinity of integers r>0, for which x+r and r-x are prime numbers. The conclusion is that 2x=(x+r)-(r-x) is always an infinity of differences of primes.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 5)
Pages:
35-43
DOI:
10.18052/www.scipress.com/BMSA.5.35
Citation:
J. Ghanouchi "About an even as the Sum or the Difference of Two Primes", Bulletin of Mathematical Sciences and Applications, Vol. 5, pp. 35-43, 2013
Online since:
Aug 2013
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