MathDB

For any integer a, there exist b and c, where c^2=a^2+b^2

Source: Baltic Way 1994

December 22, 2011

number theory proposednumber theory

Problem Statement

Show that for any integer

a\ge 5

there exist integers

b

and

c

c\ge b\ge a

, such that

a,b,c

are the lengths of the sides of a right-angled triangle.