MathDB
Hungary-Israel Binational 1996\2

Source: n^2 is a difference of consecutive cubes

October 29, 2008
geometry3D geometrymodular arithmeticalgebrafactorizationdifference of cubesspecial factorizations

Problem Statement

n>2 n>2 is an integer such that n2 n^2 can be represented as a difference of cubes of 2 consecutive positive integers. Prove that n n is a sum of 2 squares of positive integers, and that such n n does exist.
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