On the number of distinct prime factors of an odd perfect number
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Publication:876691
DOI10.1016/S1570-8667(03)00004-2zbMath1116.11301WikidataQ114120143 ScholiaQ114120143MaRDI QIDQ876691
Graeme L. Cohen, Ronald M. Sorli
Publication date: 26 April 2007
Published in: Journal of Discrete Algorithms (Search for Journal in Brave)
Related Items (5)
Sieve methods for odd perfect numbers ⋮ On the number of distinct prime factors of an odd perfect number ⋮ Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors ⋮ Odd perfect numbers have at least nine distinct prime factors ⋮ New techniques for bounds on the total number of prime factors of an odd perfect number
Cites Work
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- On the number of distinct prime factors of an odd perfect number
- Multiply perfect numbers, Mersenne primes, and effective computability
- Verschärfung der notwendigen Bedingungen für die Existenz von ungeraden vollkommenen Zahlen
- Non-existence of odd perfect numbers of the form \(3^{2\beta}p_1^{2\beta_1}s_2^{2\beta_2}s_3^{2\beta_3}\)
- A new lower bound for odd perfect numbers
- Outline of a Proof that Every Odd Perfect Number has at Least Eight Prime Factors
- On Odd Perfect, Quasiperfect, and Odd Almost Perfect Numbers
- On the second largest prime divisor of an odd perfect number
- Improved Techniques for Lower Bounds for Odd Perfect Numbers
- Odd Integers N with Five Distinct Prime Factors for which 2 - 10 -12 < σ(N)/N < 2 + 10 -12
- The second largest prime divisor of an odd perfect number exceeds ten thousand
- Odd perfect numbers
- Every odd perfect number has a prime factor which exceeds 10⁶
- Odd Perfect Numbers Not Divisible by 3. II
- Sketch of a Proof that an Odd Perfect Number Relatively Prime to 3 has at Least Eleven Prime Factors
- The third largest prime divisor of an odd perfect number exceeds one hundred
- Odd perfect numbers are divisible by at least seven distinct primes
- Almost Perfect Numbers
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