More on the total number of prime factors of an odd perfect number

DOI10.1090/S0025-5718-04-01683-7zbMath1137.11302OpenAlexW1968406684WikidataQ114093883 ScholiaQ114093883MaRDI QIDQ4654035

Kevin G. Hare

Publication date: 1 March 2005

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-04-01683-7

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Values of arithmetic functions; tables (11Y70)

Related Items (7)

Odd perfect numbers have a prime factor exceeding $10^8$ ⋮ Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors ⋮ Perfect and Deficient Perfect Numbers ⋮ 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 ⋮ Unnamed Item ⋮ On the classification of integers \(n\) that divide \(\varphi(n)+\sigma(n)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Remarks on the number of factors of an odd perfect number
• Outline of a Proof that Every Odd Perfect Number has at Least Eight Prime Factors
• On the total number of prime factors of an odd perfect number
• 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
• On the Divisibility of an Odd Perfect Number by the Sixth Power of a Prime

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