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Is the prime number p equal to 37?

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Is the prime number p equal to 37? [#permalink]

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Is the prime number p equal to 37?

(1) p = n^2 + 1, where n is an integer.
(2) p^2 is greater than 200.
[Reveal] Spoiler: OA

Last edited by Bunuel on 09 Jul 2014, 02:43, edited 1 time in total.
Renamed the topic, edited the question, and moved to DS forum.

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Re: Is the prime number p equal to 37? [#permalink]

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New post 09 Jul 2014, 02:57
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Is the prime number p equal to 37?

(1) p = n^2 + 1, where n is an integer. Prime p is 1 more than a perfect square. It could be 37, but it could also be other primes, for example, 5 or 17. Not sufficient.

(2) p^2 is greater than 200. 37^2 > 200, so p could be 37 but it could be any other prime greater than 13. Not sufficient.

(1)+(2) Still not sufficient. For example, p could be 37 or 17.

Answer: E.

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Re: Is the prime number p equal to 37? [#permalink]

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New post 07 Jul 2015, 06:13
St1. p=n^2+1, so if n+6, p=37 but if n=10, p=101. INSUFF

St2. p^2>200 => p>sqrt200 => p>14, again p can be 37 OR 101. INSUFF

St1+St2. INSUFF

E

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Re: Is the prime number p equal to 37? [#permalink]

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New post 07 Jul 2015, 11:34
monty6000 wrote:
Is the prime number p equal to 37?

(1) p = n^2 + 1, where n is an integer.
(2) p^2 is greater than 200.


Given : p is a Prime Number

Question : Is p =37?

Statement 1: p = n^2 + 1, where n is an integer.

@n=6, p = 37
@n=4, p = 17 Prime and NOT 37
NOT SUFFICIENT

Statement 2: p^2 is greater than 200
i.e. p > \(\sqrt{200}\)
i.e. p > 14
i.e p can be either 17 or 37
NOT SUFFICIENT

Combining the two Statements
even now, p can be 17 or 37, hence
NOT SUFFICIENT

Answer: Option E
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Re: Is the prime number p equal to 37? [#permalink]

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New post 14 Aug 2017, 05:36
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Re: Is the prime number p equal to 37?   [#permalink] 14 Aug 2017, 05:36
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