Hello, I am having trouble with following proof: Prove that all integers 2^2^(2n+1) +3 2^2^(4n+1) +7 , n = 1, 2, 3 ... are composite. Any help is appreciated , Thanks - Kate
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Originally Posted by katie07 Hello, I am having trouble with following proof: Prove that all integers 2^2^(2n+1) +3 2^2^(4n+1) +7 , n = 1, 2, 3 ... are composite. Any help is appreciated , Thanks - Kate I don't have time to do this in more detail, but my impression is that this might be doable by an induction proof. -Dan Edit: If it's going to be done by induction, it will take a better Mathematician than me!
Last edited by topsquark; Nov 6th 2007 at 09:18 PM.
this is supposed to be $\displaystyle 2^{2^{2n + 1}} + 3 \cdot 2^{2^{4n + 1}} + 7$ right? i'm having trouble proving this is composite for n = 1, but i'm not that good with divisibility on such a large scale, the number is huge.
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