Question

Use my problem that I posted before this one to prove that, if p is a positive integer, then
\[\left(1-\sqrt{33}\right)^p+\left(\sqrt{33}+1\right)^p\]
is an integer divisible by
\[2^p\]

Answer 1

Looks harsh :/
Kind of looks like the solution to a recursion.

I'd love to see that previous problem :>

Answer 2

http://openstudy.com/users/eliassaab#/updates/5499f402e4b0b8a54faea29e

Answer 3

Also on can look at this one
http://openstudy.com/users/eliassaab#/updates/54998a46e4b0b8a54fae714e

Answer 4

m=1
n=-8
done :)

Answer 5

i used ur prev question as lema xD

Answer 6

and yet