Power love

Number Theory Level 3

Suppose that for a positive integer n n , 3 n − 2 n = p k 3^n-2^n=p^k where p p is a prime number and k k is a positive integer. What can we say about n n for sure?

Can't be determined It's a prime number It's a composite number

Áron Bán-Szabó by Áron Bán-Szabó , 17, Hungary

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1 solution

If we replace n with 2 .we would have our answer.

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