MathDB

4

Part of 2010 Vietnam National Olympiad

Problems(1)

VMO 2010-Pro 4:Equation has at least n root

Source:

12/1/2010
Prove that for each positive integer n,the equation
x2+15y2=4nx^{2}+15y^{2}=4^{n}
has at least nn integer solution (x,y)(x,y)
inductionnumber theory unsolvednumber theory