A Curious Strong Resemblance between the Goldbach Conjecture and Fermat Last Assertion

Ikorong Anouk Gilbert Nemron

Abstract


The Goldbach conjecture (see [2] or [3] or [4]) states that every even integer $e\geq 4$ is of the form $e=p+q$, where ($p,q$) is a couple of prime(s). The Fermat last assertion [solved by A. Wiles (see [1])] stipulates that when $n$ is an integer $\geq 3$, the equation $x^{n}+y^{n}=z^{n}$ has not solution in integers $\geq 1$. In this paper, via two simple Theorems, we present a curious strong resemblance between the Goldbach conjecture and the Fermat last assertion.


Keywords


Goldbach; Goldbachian; Wiles; Wilian's

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DOI: http://dx.doi.org/10.26713%2Fjims.v1i1.11

eISSN 0975-5748; pISSN 0974-875X