<b>A Proposed Resolution of the Non-Existence of Odd Perfect Numbers </b><sup><em>within the Primordial Model:A Didactic,Fully Verified Perimeter Closure</em></sup>
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posted on 2025-10-28, 06:26 authored by MAnuel QuezadaMAnuel Quezada, Héctor Manuel QuezadaHéctor Manuel Quezada<h4><b>This manuscript presents a self-contained proof of a universal perimeter closure inside a minimal arithmetic framework (the Primordial Model). We then prove a structure-preserving Equivalence of Translation (E T) under explicitaxioms ,and thus transfer the closure to the classical setting: Odd perfect numbers do not exist.</b></h4><p></p>
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Keywords
Odd perfect numbersPerfect numbersNumber theoryNon-existence proofDivisor functionSum of divisorsPrime factorsEuler's theoremUnsolved problemMathematical proofConjectureAbundant numbersDeficient numbersAliquot sumMultiperfect numbersDiophantine equationSpecial primeLower boundsComputational number theoryOre's harmonic numbersCyclotomic polynomialsElementary number theory
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