On a divisibility problem

DOI10.21136/MB.2018.0058-17zbMath1474.11018OpenAlexW2806178906MaRDI QIDQ5227159

Florian Luca, Shi-Chun Yang, Alain S. Togbé

Publication date: 5 August 2019

Published in: Mathematica Bohemica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/mb.2018.0058-17

zbMATH Keywords

exponentdivisibilityprimeSándor-Luca's theorem

Mathematics Subject Classification ID

Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Uses Software

• Maple

Cites Work

• The product of consecutive integers is never a power
• Integers without large prime factors
• On the parity of exponents in the factorization of \(n\)!
• On the prime power factorization of \(n!\)
• Approximate formulas for some functions of prime numbers
• The 𝑘^{𝑡ℎ} prime is greater than 𝑘(ln𝑘+lnln𝑘-1) for 𝑘≥2
• Note on Products of Consecutive Integers
• On a Conjecture of Klee
• On the interval containing at least one prime number
• On the prime power factorization of \(n\)!
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