On the equation \(n! = a_1! a_2! \cdots a_t!\)

DOI10.1016/j.indag.2015.12.002zbMath1401.11008OpenAlexW2342474229MaRDI QIDQ297970

Saranya G. Nair, Tarlok N. Shorey

Publication date: 20 June 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2015.12.002

zbMATH Keywords

primesfactorialproduct of factorials

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Primes (11A41)

Cites Work

• Unnamed Item
• Remark on factorials that are products of factorials
• Lower bounds for the greatest prime factor of product of consecutive positive integers
• The Difference Between Consecutive Primes, II
• Prime factors of consecutive integers
• Generalizations of some irreducibility results by Schur
• On the largest prime factor of $x^{2}-1$
• A Remark on Stirling's Formula
• The greatest prime divisor of a product of consecutive integers
• Calculations for Bertrand's Postulate
• On factorials which are products of factorials

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