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Odd perfect numbers have at least nine distinct prime factors |
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| Authors: | Pace P Nielsen |
| Institution: | Department of Mathematics, University of Iowa, Iowa City, Iowa 52242 |
| Abstract: | An odd perfect number,  , is shown to have at least nine distinct prime factors. If  then  must have at least twelve distinct prime divisors. The proof ultimately avoids previous computational results for odd perfect numbers. |
| Keywords: | Abundant deficient odd perfect |
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