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Re: If n= p^2-p+17, is n prime? [#permalink]
13 May 2013, 18:00

N = p^2 - P + 17 N = P(P-1) + 17 Is N prime?

St1: P = Prime Number if p = 2, 2*1 + 17 = 19 Prime If p = 17, 17*16 + 17 = a multiple of 17. hence Not Prime Insufficient

ST2: P = Integer < 17 True for all integers. Product of any 2 consecutive integers + 17 will yield a prime number. if p = 3, 3*2+17 = 23 (prime) if p = 6, 6*5 + 17 = 47 (prime) same for all integers less than 17. SUFFICIENT

Re: If n= p^2-p+17, is n prime? [#permalink]
13 May 2013, 18:53

1

This post received KUDOS

srcc25anu wrote:

N = p^2 - P + 17 N = P(P-1) + 17 Is N prime?

St1: P = Prime Number if p = 2, 2*1 + 17 = 19 Prime If p = 17, 17*16 + 17 = a multiple of 17. hence Not Prime Insufficient

ST2: P = Integer < 17 True for all integers. Product of any 2 consecutive integers + 17 will yield a prime number. if p = 3, 3*2+17 = 23 (prime) if p = 6, 6*5 + 17 = 47 (prime) same for all integers less than 17. SUFFICIENT

Ans B

In B you are not considering negative numbers. If p=-17, than B is not sufficient.

Re: If n= p^2-p+17, is n prime? [#permalink]
16 Jun 2014, 11:47

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