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suppose a,b and n are positive integers, all greater than 1. if a^n + b^n is prime, what can you say about n? A) integer must be 2 B)integer need not be 2, but must be a power of 2 C)integer need not be a power of 2, but must be even D)none of the above

suppose a,b and n are positive integers, all greater than 1. if a^n + b^n is prime, what can you say about n?


A) integer must be 2


B)integer need not be 2, but must be a power of 2


C)integer need not be a power of 2, but must be even


D)none of the above

Grade:12

1 Answers

Nehal Wani
21 Points
12 years ago

22+42=20  which is not a prime. Therefore (a) eliminated.

2 is also even. Therefore (c) eliminated.

34+54=706 which is not prime. Therefore option (b) eliminated.

Hence the correct option is (d)

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