Very challenging proof question.

Question

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624

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Prove that $20^{2n}+16^{2n}-3^{2n-1}$ is divisible by 323.

Guest Jun 24, 2020

Alan · Answer 1 · 2020-06-25T07:19:29

It isn't!

Let n = 1

20² + 16² - 3 = 653

653/323 = 2.02167...

I think you must mean prove that $20^{2n}+16^{2n}-3^{2n}-1$ is divisible by 323 for integer n