M2627

Part of Kvant 2020

Problems(1)

Products of terms of progression

Source: Kvant Magazine No. 11-12 2020 M2627

An infinite arithmetic progression is given. The products of the pairs of its members are considered. Prove that two of these numbers differ by no more than 1.
Proposed by A. Kuznetsov

algebraArithmetic ProgressionKvant