Given two Fermat's number $a=2^{2^n}+1$ and $b=2^{2^m}+1$ with $n,m\in\mathbb{Z}, ~n,m\ge0~\wedge~n\ne m$. Prove $\gcd(a,b)=1$.
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Why in the world was this question closed?? – Mark Fischler Jan 10 '17 at 16:46
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A, I didn't see the duplicate. – Mark Fischler Jan 10 '17 at 16:52