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hint: express the decimals into fractions

they are odd integers, but not all of them

\[(\frac{57}{2}) ^n + (\frac{199}{2}) ^n \]

You know that
57^n + 199^n must be an integer multiple of 2^n

Yeah...

So now you need to prove that whether n is odd or even

ugh I need to think now, I messed up somewhere :/

ok i got to go

Bye, Thanks for the Help :-)

Good job

@moneybird - do you have the actual proof for this and does my proof match up to it?

nice proof - a lot simpler