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Prove-that-2-2-2n-1-2-2-2n-1-is-never-a-prime-for-any-positive-n-




Question Number 15789 by tawa tawa last updated on 13/Jun/17
Prove that:  2^(2^(2n + 1)  ) + 2^2^(2n)   + 1 ,  is never a prime for any positive n.
$$\mathrm{Prove}\:\mathrm{that}:\:\:\mathrm{2}^{\mathrm{2}^{\mathrm{2n}\:+\:\mathrm{1}} \:} +\:\mathrm{2}^{\mathrm{2}^{\mathrm{2n}} } \:+\:\mathrm{1}\:,\:\:\mathrm{is}\:\mathrm{never}\:\mathrm{a}\:\mathrm{prime}\:\mathrm{for}\:\mathrm{any}\:\mathrm{positive}\:\mathrm{n}. \\ $$

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