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A New Formulation of a Set of Even Numbers

Daniel Sankei, Loyford Njagi and Josephine Mutembei
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Daniel Sankei: Meru University of Science and Technology, Kenya
Loyford Njagi: Meru University of Science and Technology, Kenya
Josephine Mutembei: Meru University of Science and Technology, Kenya

European Journal of Mathematics and Statistics, 2023, vol. 4, issue 4, 93-97

Abstract: 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 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:4:y:2023:i:4:id:14249

DOI: 10.24018/ejmath.2023.4.4.249

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