Products of distinct integers being high powers

DOI10.1142/S1793042117501123zbMath1427.11096OpenAlexW2591695460MaRDI QIDQ5357492

Mariusz Skałba

Publication date: 8 September 2017

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

Full work available at URL: https://doi.org/10.1142/s1793042117501123

zbMATH Keywords

smooth numbersperfect powersDavenport's constant

Mathematics Subject Classification ID

Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Rate of growth of arithmetic functions (11N56)

Related Items (2)

Highest perfect power of a product of integers less than x ⋮ Products of disjoint blocks of integers being high powers

Cites Work

• Unnamed Item
• On products of disjoint blocks of consecutive integers
• On a problem of Oppenheim concerning Factorisatio Numerorum
• The product of consecutive integers is never a power
• There are infinitely many Carmichael numbers
• Products of disjoint blocks of consecutive integers which are powers
• On a question of Erdős and Graham

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