A New Formulation of a Set of Even Numbers



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Submitted May 9, 2023
Published Aug 31, 2023
10.24018/ejmath.2023.4.4.249

Abstract viewed = 217 times

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We present a new definition of an Even number as an integer, E, of the form E = (n1 +n2 )+(n2.+n1)n, ˅ n1 , n2, n ϵ N. members of natural numbers. We have shown the new set representation of even numbers holds for all natural numbers. This new representation opens up new doors to the solution of the Strong Goldbach Conjecture. The proofs obtained here will have impressive application in partitioning a given even number into all pairs of odd numbers.

Keywords: Even numbers Goldbach Conjecture Natural numbers Odd numbers Prime numbers

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