MathDB
H 24

Source:

May 25, 2007
modular arithmeticgeometry3D geometryDiophantine Equations

Problem Statement

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.
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