On the number of prime factors of an odd perfect number

DOI10.1090/S0025-5718-2013-02776-7zbMath1370.11009WikidataQ114093830 ScholiaQ114093830MaRDI QIDQ3189429

Michaël Rao, Pascal Ochem

Publication date: 10 September 2014

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

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Factorization; primality (11A51)

Related Items (5)

On the number of total prime factors of an odd perfect number ⋮ Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors ⋮ Unnamed Item ⋮ An improvement of an inequality of Ochem and Rao concerning odd perfect numbers ⋮ Upper bounds on the second largest prime factor of an odd perfect number

Cites Work

• Odd perfect numbers are greater than $10^{1500}$
• Odd perfect numbers have a prime factor exceeding $10^8$
• Odd perfect numbers have at least nine distinct prime factors
• Unnamed Item
• Unnamed Item

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