13 pages; International audience; The present algebraic development begins by an exposition of the data of the problem. The definition of the primal radius is : For all positive integer exists a finite number of integers called the primal radius , for which and are prime numbers. The corollary is that is always the sum of a finite number of primes. Also, for all positive integer , exists an infinity of integers , for which and are prime numbers. The conclusion is that is always an infinity of differences of primes.
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