The Most Frequent Values of the Largest Prime Divisor Function

DOI10.1080/10586458.2016.1155188zbMath1426.11108arXiv1504.05985OpenAlexW2506905834MaRDI QIDQ5281714

Nathan McNew

Publication date: 26 July 2017

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05985

zbMATH Keywords

smooth numberslargest prime divisorfactoring algorithms

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37)

Related Items (1)

The sharp threshold for making squares

Cites Work

• The median largest prime factor
• On sharp transitions in making squares
• Largest prime factor
• The distribution of the average prime divisor of an integer
• On the number of positive integers \(\leq x\) and free of prime factors \(>y\)
• Sur le nombre des entiers sans grand facteur premier. (On the number of integers without large prime factor)
• On an additive arithmetic function
• On the asymptotic behavior of the Dickman-de Bruijn function
• On the unimodal character of the frequency function of the largest prime factor
• Primes in tuples IV: Density of small gaps between consecutive primes
• A design for a number theory package with an optimized trial division routine
• INTEGERS FREE OF LARGE PRIME DIVISORS IN SHORT INTERVALS

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