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arxiv: 1008.1114 · v1 · pith:YN4BQCFTnew · submitted 2010-08-06 · 🧮 math.NT

On the Sum and Product of Distinct Prime Factors of an Odd Perfect Number

classification 🧮 math.NT
keywords numberdistinctfactorsperfectprimelowerproductbound
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We present lower bounds on the sum and product of the distinct prime factors of an odd perfect number, which provide a lower bound on the size of the odd perfect number as a function of the number of its distinct prime factors.

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