Christian GOLDBACH THEOREM

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Christian GOLDBACH THEOREM

Abstract:We record the number of elements whose sum is not less than 6 and not greaterthan x for two odd prime numbers as M(x). Based on the definition ofprime numbers and the valuation of trigonometric sums using prime numbers assummation variables, Thereexists a minimum and maximum value for M(x)，The valuedifference of M(x) was calculated using the Newton Leibniz formula, and the Christian GOLDBACH theoremwas obtained.Derive Hardy LITTLEWOOD theorem based on Christian GOLDBACH theorem.

Key words: even numbers, Prime numbers, positive constant

MR (2010) Subject Classification 11P02, 45A00