Let n be a positive integer.Prove that the given expression

$${ 3 }^{ { 3 }^{ n } }({ 3 }^{ { 3 }^{ n } }+1)+{ 3 }^{ { 3 }^{ n+1 } }-1\quad$$ is not a prime.

2 years, 6 months ago

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Note that the expression is always even whatever be the value of n. 3 being odd 3^3^n is odd and so is 3^3^(n+1). Thus {(3^3^n)+1} and [{3^3^(n+1)-1] are even.

- 2 years, 6 months ago