MathDB

1

Part of 1999 Finnish National High School Mathematics Competition

Problems(1)

Equation has always a solution

Source: Finnish Mathematics Competition 1999, Final Round, Problem 1

11/14/2011
Show that the equation x3+2y2+4z=nx^3 + 2y^2 + 4z = n has an integral solution (x,y,z)(x, y, z) for all integers n.n.
calculusintegrationmodular arithmeticnumber theory unsolvednumber theory