On the third largest prime divisor of an odd perfect number

zbMath1490.11008arXiv1908.09420MaRDI QIDQ3390095

Pieter Vyncke, Joshua Zelinsky, Sean Bibby

Publication date: 24 March 2022

Full work available at URL: https://arxiv.org/abs/1908.09420

zbMATH Keywords

odd perfect numberthird largest prime divisor

Mathematics Subject Classification ID

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

Cites Work

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• On the radical of a perfect number
• Some new results on odd perfect numbers
• A system of quadratic diophantine equations
• Radical of perfect numbers and perfect numbers among polynomial values
• ON PRIME FACTORS OF ODD PERFECT NUMBERS
• The third largest prime divisor of an odd perfect number exceeds one hundred
• Upper bounds on the second largest prime factor of an odd perfect number
• Odd perfect numbers, Diophantine equations, and upper bounds
• A congruence involving harmonic sums modulo pαqβ

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