- #1
Selfluminous
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Homework Statement
if 1 + 2^n + 4^n is a prime number then n is a power of 3
Homework Equations
The Attempt at a Solution
If n is not a power of 3, i need to show that we can factorize 1 + 2^n + 4^n
But I am not really sure what should n be if it is not a power of 3 ?
is it 3^k*m where m ≥ 1, k≥0
this direction doesn't seem to work
there must be some trick here.