MathDB

15

Part of 1990 Baltic Way

Problems(1)

None of these numbers are cubes

Source:

4/19/2013
Prove that none of the numbers 22n+12^{2^n}+ 1, n=0,1,2,…n = 0, 1, 2, \dots is a perfect cube.
geometry3D geometrymodular arithmeticalgebrafactorizationdifference of cubesspecial factorizations