TY - JOUR
T1 - About an even as the Sum or the Difference of Two Primes
AU - Ghanouchi, Jamel
JF - Bulletin of Mathematical Sciences and Applications
VL - 5
SP - 35
EP - 43
SN - 2278-9634
PY - 2013
PB - SciPress Ltd
DO - 10.18052/www.scipress.com/BMSA.5.35
UR - https://www.scipress.com/BMSA.5.35
KW - Algebraic Proof
KW - De Polignac
KW - Goldbach
KW - Twin Primes
AB - 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.
ER -