turkey-yks 2011 Q15

turkey-yks · Other · ygs Number Theory Prime Number Properties and Identification

Let a be a positive integer and $p = a^{2} + 5$. If p is a prime number, which of the following statements are true?
I. a is an even number. II. The remainder when p is divided by 4 is 1. III. $\mathrm{p} - 6$ is prime.
A) I and III B) Only I C) I and II D) Only III E) I, II and III

Let a be a positive integer and $p = a^{2} + 5$. If p is a prime number, which of the following statements are true?

I. a is an even number.
II. The remainder when p is divided by 4 is 1.
III. $\mathrm{p} - 6$ is prime.

A) I and III
B) Only I
C) I and II
D) Only III
E) I, II and III

Paper Questions

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