Number Theory


A Criterion Arising from Explorations Pertaining to the Oesterle-Masser Conjecture

Authors: Christopher Goddard

Using an extension of the idea of the radical of a number, as well as a few other ideas, it is indicated as to why one might expect the Oesterle-Masser conjecture to be true. Based on structural elements arising from this proof, a criterion is then developed and shown to be potentially sufficient to resolve two relatively deep conjectures about the structure of the prime numbers. A sketch is consequently provided as to how it might be possible to demonstrate this criterion, borrowing ideas from information theory and cybernetics.

Comments: 23 Pages.

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[v1] 2017-05-05 16:53:48

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