engleski

On the sum of two divisors of (n^2 + 1)/2

Ayad and Luca proved that there does not exist an odd integer n > 1 and two positive divisors d1 and d2 of (n^2 + 1)/2 such that d1 + d2 = n + 1. In this paper, we consider the similar problem but with n + 1 replaced by an arbitrary linear polynomial an + b, where a > 0 and b are given integers.

divisors; Pellian equations; Schinzel's Hypothesis

nije evidentirano