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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 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 ³ 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.

Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 6)

Pages:

10-20

Citation:

J. Ghanouchi, "A Proof of the Veracity of both Goldbach and De Polignac Conjectures", Bulletin of Mathematical Sciences and Applications, Vol. 6, pp. 10-20, 2013

Online since:

November 2013

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Keywords:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

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