MathDB

8

Part of 1994 Baltic Way

Problems(1)

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

Source: Baltic Way 1994

12/22/2011
Show that for any integer a≥5a\ge 5 there exist integers bb and cc, c≥b≥ac\ge b\ge a, such that a,b,ca,b,c are the lengths of the sides of a right-angled triangle.
number theory proposednumber theory