MathDB

3

Part of 2008 Korea Junior Math Olympiad

Problems(1)

x, y relatively prime to 5 such that x^2 + y^2 = 5^n for any n

Source: KJMO 2008 p3

5/2/2019
For all positive integers nn, prove that there are integers x,yx, y relatively prime to 55 such that x2+y2=5nx^2 + y^2 = 5^n.
number theoryrelatively primeDiophantine equationcoprime