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In this paper, a rigorous proof of the strong Goldbach Conjecture is provided. This proof is mainly based on a very special expression of even numbers we propose and which takes the form of (2n + 6). Even numbers expressed in this form can be expressed as sums of two primes of the form of (3 +2i ) and (2n + 3 -2 i), where I and n are positive integers. We show that it is always possible to find at least one pair of prime numbers according to the former two expressions for any given even numberdoi:10.5120/ijca2016909938 fatcat:i7t2qpq25jh4bpwl356dhcms2a