Number Theory


Every Even Integer Greater Than Six Can be Expressed as the Sum of Two co-Prime Odd Integers Atleast One of Which is a Prime

Authors: Prashanth R. Rao

In this paper we prove a simple theorem that is distantly related to the Even Goldbach conjecture and is weaker than Chen’s theorem regarding the expression of any even integer as the sum of a prime number and a semiprime number. We show that any even integer greater than six can be written as the sum of two odd integers coprime to one another and atleast one of them is a prime.

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[v1] 2016-12-28 20:35:01

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