JP Journal of Algebra, Number Theory and Applications
Volume 31, Issue 2, Pages 101 - 105
(December 2013)
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A NEW PROOF OF SYLVESTER’S THEOREM ON ODD PERFECT NUMBERS
M. A. Nyblom
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Abstract: A new and elementary proof is presented which establishes a result of Sylvester namely, an odd perfect number must necessarily have at least three distinct prime factors. The argument depends on nothing more than a simple factorization of monic polynomials of the form |
Keywords and phrases: odd perfect number, sum of divisor function. |
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