MathDB
A 38

Source:

May 25, 2007
floor functionDivisibility Theory

Problem Statement

Let pp be a prime with p>5p>5, and let S={p−n2∣n∈N,n2<p}S=\{p-n^2 \vert n \in \mathbb{N}, {n}^{2}<p \}. Prove that SS contains two elements aa and bb such that a∣ba \vert b and 1<a<b1<a<b.
Back to ProblemsView on AoPS