MathDB
Some divisibilities imply a/b is less than root 3

Source: Polish Second Round 2009

August 4, 2011
number theory proposednumber theory

Problem Statement

Given are two integers a>b>1a>b>1 such that a+b∣ab+1a+b \mid ab+1 and a−b∣ab−1a-b \mid ab-1. Prove that a<3ba<\sqrt{3}b.
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