MathDB
15x^2 + y^2 = 2^{2000} diophantine

Source: Israel Grosman Memorial Mathematical Olympiad 2001 p6

February 15, 2020
Diophantine equationdiophantinenumber theory

Problem Statement

(a) Find a pair of integers (x,y) such that 15x2+y2=2200015x^2 +y^2 = 2^{2000} (b) Does there exist a pair of integers (x,y)(x,y) such that 15x2+y2=2200015x^2 + y^2 = 2^{2000} and xx is odd?
Back to ProblemsView on AoPS