Outline of a Proof that Every Odd Perfect Number has at Least Eight Prime Factors
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Publication:3887517
DOI10.2307/2006211zbMath0444.10004OpenAlexW4251868429MaRDI QIDQ3887517
Publication date: 1980
Full work available at URL: https://doi.org/10.2307/2006211
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Cites Work
- Unnamed Item
- Multiply perfect numbers, Mersenne primes, and effective computability
- On Multiple Prime Divisors of Cyclotomic Polynomials
- The Second Largest Prime Factor of an Odd Perfect Number
- On the Largest Prime Divisor of an Odd Perfect Number. II
- Odd perfect numbers are divisible by at least seven distinct primes
- Untersuchungen über ungerade vollkommene Zahlen.
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