Marco Ripà

Universal Invariants for \(\gcd(n^k - 1, n! - 1) > 1\)

For integers \(k\geq2\) and \(\lambda_1,\lambda_2\in\{-1,+1\}\), let \(S_k^{\lambda_1,\lambda_2}:=\{n \in \mathbb{N}\setminus \{0,1\} :\gcd(n^k+\lambda_1,n!+\lambda_2)>1\}\). This family arose from a MathOverflow problem concerning the existence of integers \(n\) satisfying \(\gc...