MathDB

s can be written as a fraction with denominator coprime to 6

Source: Baltic Way 2007

November 30, 2010

modular arithmeticnumber theoryrelatively primenumber theory proposed

Problem Statement

Let

a

and

b

be rational numbers such that

s=a+b=a^2+b^2

. Prove that

s

can be written as a fraction where the denominator is relatively prime to

6