MathDB
Inequality from divisibility condition

Source: CWMI 2017 Q1

August 14, 2017
number theory

Problem Statement

Let pp be a prime and nn be a positive integer such that p2p^2 divides ∏k=1n(k2+1)\prod_{k=1}^n (k^2+1). Show that p<2np<2n.
Back to ProblemsView on AoPS