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Number Theory Level pending

True or false?

As long as n is a positive integer, 3 n 3^{n} - 1 will always be a composite number.

True False

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1 solution

Noel Lo
Mar 11, 2015

3 n \ 3^{n} -1 is a n even number for all positive integers n but if n=1, 3 -1 = 2 which is a prime number. 2 is the only even prime. If n is an integer greater than 1, the value would be a composite number.

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