ON PRIME FACTORS OF ODD PERFECT NUMBERS

DOI10.1142/S1793042112500935zbMath1272.11007OpenAlexW2167320009WikidataQ114072056 ScholiaQ114072056MaRDI QIDQ2909602

Peter Acquaah, Sergei V. Konyagin

Publication date: 6 September 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042112500935

zbMATH Keywords

divisor functionprime numbersodd perfect numbersradical of a number

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (5)

On the third largest prime divisor of an odd perfect number ⋮ Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors ⋮ Unnamed Item ⋮ Radical of perfect numbers and perfect numbers among polynomial values ⋮ Upper bounds on the second largest prime factor of an odd perfect number

Cites Work

• Odd perfect numbers are greater than $10^{1500}$
• 2874. A note on perfect numbers
• Odd perfect numbers have at least nine distinct prime factors
• 65.1 Even perfect numbers

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