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# If x and y are positive integers such that x^2+y^2 is a prim

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Manager
Status: struggling with GMAT
Joined: 06 Dec 2012
Posts: 228
Concentration: Accounting
GMAT Date: 04-06-2013
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Kudos [?]: 275 [1] , given: 46

If x and y are positive integers such that x^2+y^2 is a prim [#permalink]

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27 Feb 2013, 14:19
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Question Stats:

50% (02:46) correct 50% (01:35) wrong based on 100 sessions

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If x and y are positive integers such that x^2+y^2 is a prime number less than 18, what is the value of y?

(1) x^2 + y^2 is a prime number
(2) x^2 - y^2 is a prime number
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 Feb 2013, 15:34, edited 2 times in total.
Edited the question.
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Kudos [?]: 79399 [1] , given: 10016

Re: If x and y are positive integers such that x^2+y^2 is a prim [#permalink]

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27 Feb 2013, 15:39
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Expert's post
mun23 wrote:
If x and y are positive integers such that x^2+y^2 is a prime number less than 18, what is the value of y?

(1) x^2 + y^2 is a prime number
(2) x^2 - y^2 is a prime number

By trial and error:

Case #1.
x^2 + y^2 --> 3^2 + 2^2 = 13 = prime.
x^2 - y^2 --> 3^2 - 2^2 = 5 = prime.

Case #2.
x^2 + y^2 --> 2^2 + 1^2 = 5 = prime.
x^2 - y^2 --> 2^2 - 1^2 = 3 = prime.

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Kudos [?]: 14 [0], given: 16

Re: If x and y are positive integers such that x^2+y^2 is a prim [#permalink]

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30 Apr 2014, 19:08
Hey Bunuel,
The org question is incorrectly written. Here is the correct question:
If x and y are positive integers such that x^2+y^3 is a prime number less than 18, what is the value of y?

(1) x^2 + y^2 is a prime number
(2) x^2 - y^2 is a prime number
Math Expert
Joined: 02 Sep 2009
Posts: 34420
Followers: 6248

Kudos [?]: 79399 [0], given: 10016

Re: If x and y are positive integers such that x^2+y^2 is a prim [#permalink]

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01 May 2014, 10:01
prsnt11 wrote:
Hey Bunuel,
The org question is incorrectly written. Here is the correct question:
If x and y are positive integers such that x^2+y^3 is a prime number less than 18, what is the value of y?

(1) x^2 + y^2 is a prime number
(2) x^2 - y^2 is a prime number

You could use the same numbers because 3^2 + 2^3 and 2^2 + 1^3 are also primes less than 18.
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Re: If x and y are positive integers such that x^2+y^2 is a prim   [#permalink] 01 May 2014, 10:01
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