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If f and g are integers, is fg + 2 prime?

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If f and g are integers, is fg + 2 prime?  [#permalink]

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New post Updated on: 12 Oct 2012, 00:40
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E

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Question Stats:

45% (00:53) correct 55% (00:48) wrong based on 148 sessions

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If f and g are integers, is fg + 2 prime?

(1) f is odd.
(2) g is even.

Originally posted by aditi1903 on 12 Oct 2012, 00:37.
Last edited by Bunuel on 12 Oct 2012, 00:40, edited 1 time in total.
Edited the question.
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Re: If f and g are integers, is fg + 2 prime?  [#permalink]

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New post 12 Oct 2012, 00:48
aditi1903 wrote:
If f and g are integers, is fg + 2 prime?

(1) f is odd.
(2) g is even.


Even when we take the statements together they are not sufficient to answer the question:

If f is any odd number and g=0, then fg+2=2=prime;
If f is any odd number and g=2, then fg+2 is some even number other than 2, thus not a prime.

Answer: E.
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Re: If f and g are integers, is fg + 2 prime?  [#permalink]

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New post 23 Jul 2018, 23:22
If we combine both the statement i.e f is odd and g is even in that case it is clear that fg+2 will be any even number other 2. Bunuel can you please help.
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Re: If f and g are integers, is fg + 2 prime?  [#permalink]

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New post 23 Jul 2018, 23:32
sghoshgt wrote:
If we combine both the statement i.e f is odd and g is even in that case it is clear that fg+2 will be any even number other 2. Bunuel can you please help.


The solution gives an example:
If f is any odd number and g=0, then fg+2 = 2 = prime;
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Re: If f and g are integers, is fg + 2 prime? &nbs [#permalink] 23 Jul 2018, 23:32
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