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Bunuel
If p is a positive integer, which of the following could be a prime number?

A. 8p
B. 8p + 1
C. 8p + 2
D. 8p + 4
E. 8p + 6


We see that 8p is an even number greater than 2, so 8p + 2, 8p + 4 and 8p + 6 will each be an even number greater than 2, which means none of them could be a prime number since even numbers greater than 2 are not prime numbers. Therefore, the only expression that could be a prime number is 8p + 1. This is borne out by recalling that even + odd = odd.

Answer: B
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