MathDB
None of these numbers are cubes

Source:

April 19, 2013
geometry3D geometrymodular arithmeticalgebrafactorizationdifference of cubesspecial factorizations

Problem Statement

Prove that none of the numbers 22n+12^{2^n}+ 1, n=0,1,2,…n = 0, 1, 2, \dots is a perfect cube.
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