Number Theory

    

A Proof of Lemoine's Conjecture by Circles of Partition

Authors: Theophilus Agama, Berndt Gensel

In this paper we use a new method to study problems in additive number theory. We leverage this method to prove the Lemoine conjecture, a closely related problem to the binary Goldbach conjecture. In particular, we show by using the notion of circles of partition that for all odd numbers $n\geq 9$ holds \begin{align*} n=p+2q\mbox{ for not necessarily different primes }p,q. \end{align*}

Comments: 7 Pages. The first proof of the Lemma is wrong and still under construction. So the current proof is conditional and will be completed.

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Submission history

[v1] 2021-02-26 21:58:15
[v2] 2021-03-11 10:02:09
[v3] 2021-03-21 08:06:00

Unique-IP document downloads: 549 times

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