On primes and practical numbers

DOI10.1007/s11139-020-00354-yzbMath1505.11121arXiv2007.11062OpenAlexW3132192579MaRDI QIDQ2115268

Andreas J. Weingartner, Carl B. Pomerance

Publication date: 15 March 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11062

zbMATH Keywords

shifted primepractical number

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (4)

The number of prime factors of integers with dense divisors ⋮ The mean number of divisors for rough, dense and practical numbers ⋮ Somewhat smooth numbers in short intervals ⋮ An extension of the Siegel-Walfisz theorem

Uses Software

• MathOverflow

Cites Work

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• Integers with dense divisors. I
• Les nombres pratiques: Théorie, observations et conjectures. (Practical numbers: Theory, observations, and conjectures)
• On sums of primes
• Integers with dense divisors
• On two conjectures about practical numbers
• Sur un problème de crible et ses applications
• The constant factor in the asymptotic for practical numbers
• Conjectures on Representations Involving Primes
• PRACTICAL NUMBERS AND THE DISTRIBUTION OF DIVISORS
• k-Degenerate Graphs
• Sums of Distinct Divisors
• Sur une propriété des nombres naturels
• Unsolved problems in number theory
• Integers with dense divisors. II

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