Thread: Composite number proof help

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

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!

this is supposed to be 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.