On the prime power factorization of \(n!\)

DOI10.1006/JNTH.1999.2477zbMath0999.11015OpenAlexW4213038763MaRDI QIDQ1587652

Yaochen Zhu, Yong-Gao Chen

Publication date: 17 September 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1999.2477

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Distribution of integers with specified multiplicative constraints (11N25) Sequences (mod (m)) (11B50)

Related Items (9)

Regularity of patterns in the factorization of n! ⋮ On the parity of exponents in the standard factorization of \(n!\) ⋮ On a divisibility problem ⋮ On the prime power factorization of \(n\)! ⋮ On the parity of exponents in the prime factorization of factorials ⋮ On the prime power factorization of \(n!\). II ⋮ Prime-power factorization of binomial coefficients ⋮ On the exponents modulo 3 in the standard factorisation of n! ⋮ On a problem of Chen and Liu concerning the prime power factorization of 𝑛!

Cites Work

• Unnamed Item
• The product of consecutive integers is never a power
• On the parity of exponents in the factorization of \(n\)!
• A combinatorial problem on finite Abelian groups. I

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