## Imo 1964-1

Discussion on International Mathematical Olympiad (IMO)
Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

### Imo 1964-1

Prove that $n^4+4^n$ is not a prime for $n>1$
One one thing is neutral in the universe, that is $0$.

Moon
Posts: 751
Joined: Tue Nov 02, 2010 7:52 pm
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### Re: Imo 1964-1

This is really a nice problem!
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin

$\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0$
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.