MathDB

24

Part of PEN H Problems

Problems(1)

H 24

Source:

5/25/2007
Prove that if nn is a positive integer such that the equation x3āˆ’3xy2+y3=n.x^{3}-3xy^{2}+y^{3}=n. has a solution in integers (x,y),(x,y), then it has at least three such solutions. Show that the equation has no solutions in integers when n=2891n=2891.
modular arithmeticgeometry3D geometryDiophantine Equations