MathDB

N1

Part of 2023-IMOC

Problems(1)

Divisibility with at least two solutions

Source: IMOC 2023 N1

9/9/2023
Find all positive integers kk satisfying: there is only a finite number of positive integers nn, such that the positive integer solution xx of xn+1∣n2+kn+1xn+1\mid n^2+kn+1 is not unique.
number theory