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Note on the Theory of Perfect Numbers

General Mathematics 2011-03-04 v3

Abstract

A perfect number is a number whose divisors add up to twice the number itself. The existence of odd perfect numbers is a millennia-old unsolved problem. This note proposes a proof of the nonexistence of odd perfect numbers. More generally, the same analysis seems to generalize to a proof of the nonexistence of odd multiperfect numbers.

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Cite

@article{arxiv.1102.1885,
  title  = {Note on the Theory of Perfect Numbers},
  author = {N. A. Carella},
  journal= {arXiv preprint arXiv:1102.1885},
  year   = {2011}
}

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