MathDB
C 2

Source:

May 25, 2007
Gaussmodular arithmeticalgebrasystem of equationsnumber theoryQuadratic Residues

Problem Statement

The positive integers aa and bb are such that the numbers 15a+16b15a+16b and 16aāˆ’15b16a-15b are both squares of positive integers. What is the least possible value that can be taken on by the smaller of these two squares?