MathDB

b+c is square of an integer

Source: Baltic Way 1995

October 8, 2011

number theoryrelatively primenumber theory proposed

Problem Statement

The positive integers

a,b,c

are pairwise relatively prime,

a

and

c

are odd and the numbers satisfy the equation

a^2+b^2=c^2

. Prove that

b+c

is the square of an integer.