Neither (4k 2 + 1) nor (2k(k – 1) + 1) is a Perfect Square

DOI10.1515/INTEG.2009.017zbMath1160.11008OpenAlexW2147094420MaRDI QIDQ3625201

Jin-Hui Fang

Publication date: 11 May 2009

Published in: Integers (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129826

Mathematics Subject Classification ID

Recurrences (11B37) Congruences in many variables (11D79) Congruences; primitive roots; residue systems (11A07)

Related Items (9)

On the Occurrence of Perfect Squares Among Values of Certain Polynomial Products ⋮ On the products \((1^\ell + 1)(2^\ell + 1)\cdots(n^\ell + 1)\). II ⋮ Products of consecutive values of some quartic polynomials ⋮ Numbers of the form \((1^{\ell}+q^{\ell})(2^{\ell}+q^{\ell})\cdots(n^{\ell}+q^\ell)\) that are not powerful ⋮ On the products \((1^\ell +1)(2^\ell +1)\cdots (n^\ell +1)\) ⋮ Prime powers dividing products of consecutive integer values of \(x^{2^n}+1\) ⋮ An infinite collection of quartic polynomials whose products of consecutive values are not perfect squares ⋮ Polynomial products modulo primes and applications ⋮ A note on the products \((1^\mu +1)(2^\mu +1)\dots (n^\mu +1)\)

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