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Is the prime number p equal to 37?

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monty6000
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Is the prime number p equal to 37? [#permalink] New post   Updated on: 09 Jul 2014, 02:43
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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.
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E

Originally posted by monty6000 on 09 Jul 2014, 01:28.
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] 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.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to rules 2 and 3. Thank you.
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Re: Is the prime number p equal to 37? [#permalink] 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] New post   07 Jul 2015, 11:34
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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] New post   16 Apr 2023, 14:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is the prime number p equal to 37? [#permalink]
16 Apr 2023, 14:07
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