On the largest prime factors of \(n\) and \(n+1\)

DOI10.1007/BF01818569zbMath0379.10027OpenAlexW4241097607WikidataQ105890398 ScholiaQ105890398MaRDI QIDQ1247448

Paul Erdős, Carl B. Pomerance

Publication date: 1978

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01818569

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of primes (11N05) Primes (11A41)

Related Items (16)

SUR LES PLUS GRANDS FACTEURS PREMIERS D'ENTIERS CONSÉCUTIFS ⋮ ON BINARY CORRELATIONS OF MULTIPLICATIVE FUNCTIONS ⋮ Generalizing Ruth-Aaron Numbers ⋮ AN ELEMENTARY NOTE ON THE GREATEST PRIME FACTORS OF LINEARLY RELATED INTEGERS ⋮ New applications of the polynomial method: The cap set conjecture and beyond ⋮ Three conjectures on \(P^+(n)\) and \(P^+(n+1)\) hold under the Elliott-Halberstam conjecture for friable integers ⋮ Random multiplicative walks on the residues modulo n ⋮ Composite positive integers whose sum of prime factors is prime ⋮ Unnamed Item ⋮ VALUE PATTERNS OF MULTIPLICATIVE FUNCTIONS AND RELATED SEQUENCES ⋮ On the largest prime factors less than \(y\) of consecutive integers ⋮ Averaged forms of two conjectures of Erdős and Pomerance, and their applications ⋮ Products of ratios of consecutive integers ⋮ Some arithmetic properties of the sum of proper divisors and the sum of prime divisors ⋮ On the largest prime factors of consecutive integers in short intervals ⋮ On sum of prime factors of composite positive integers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On an additive arithmetic function
• On the Density of the Abundant Numbers
• Sur l'ordre maximum d'un élément dans le groupe $S_n$ des permutations
• Iterates of a Number-Theoretic Function
• On the probability that n and f(n) are relatively prime
• The Difference between Consecutive Prime Numbers

This page was built for publication: On the largest prime factors of \(n\) and \(n+1\)