On the largest prime factor of \(n!+2^n-1\)

DOI10.5802/jtnb.524zbMath1097.11006OpenAlexW2794090199MaRDI QIDQ819884

Igor E. Shparlinski, Florian Luca

Publication date: 30 March 2006

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2005__17_3_859_0

zbMATH Keywords

largest prime factornumber of distinct prime factorsnumber of solutions of congruences

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Factorization; primality (11A51) Rate of growth of arithmetic functions (11N56)

Related Items

Character sums and congruences with 𝑛!

Cites Work

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• On the Greatest and Least Prime Factors of n !+1
• Shifted primes without large prime factors