Lower bounds for the greatest prime factor of product of consecutive positive integers

DOI10.1016/j.jnt.2015.07.014zbMath1400.11016OpenAlexW1787749081MaRDI QIDQ746944

Saranya G. Nair, Tarlok N. Shorey

Publication date: 21 October 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.07.014

zbMATH Keywords

primes\(abc\) conjecturefactorials

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72) Primes (11A41)

Related Items (6)

Arithmetic Properties of Blocks of Consecutive Integers ⋮ On the equation \(n! = a_1! a_2! \cdots a_t!\) ⋮ Families of Laguerre polynomials with alternating group as Galois group ⋮ The irreducibility of some Wronskian Hermite polynomials ⋮ Extension of Laguerre polynomials with negative arguments ⋮ Bounds for the counting function of the Jordan-Pólya numbers

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