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Is an integer P prime? (1) P^2=P^P (2) P! is prime

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Is an integer P prime? (1) P^2=P^P (2) P! is prime [#permalink] New post 23 May 2003, 05:04
Is an integer P prime?

(1) P^2=P^P
(2) P! is prime
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Re: PRIMES [#permalink] New post 24 May 2003, 12:58
Expert's post
stolyar wrote:
Is an integer P prime?

(1) P^2=P^P
(2) P! is prime



So, P =2?

As to 1, it can be either 1^2 or 2^2
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 [#permalink] New post 25 May 2003, 21:14
Expert's post
stolyar wrote:
(1) P=1 or 2
(2) P=2


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Re: PRIMES [#permalink] New post 14 Feb 2008, 20:54
Is an integer P prime?

(1) P^2=P^P
(2) P! is prime

For (1), one can solve it as 2lnp = plnp; ln(p)[2-p] = 0; p = 2 or p = 1. So, insufficient.
For (2), only p = 2 fulfills this condition. Sufficient.

I would say B, as well.
Re: PRIMES   [#permalink] 14 Feb 2008, 20:54
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Is an integer P prime? (1) P^2=P^P (2) P! is prime

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