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

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SVP
Joined: 03 Feb 2003
Posts: 1603

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Is an integer P prime? (1) P^2=P^P (2) P! is prime [#permalink]

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23 May 2003, 06:04
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Is an integer P prime?

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

Kudos [?]: 303 [0], given: 0

Founder
Joined: 04 Dec 2002
Posts: 15590

Kudos [?]: 28530 [0], given: 5114

Location: United States (WA)
GMAT 1: 750 Q49 V42

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24 May 2003, 13:58
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

Kudos [?]: 28530 [0], given: 5114

Founder
Joined: 04 Dec 2002
Posts: 15590

Kudos [?]: 28530 [0], given: 5114

Location: United States (WA)
GMAT 1: 750 Q49 V42

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25 May 2003, 22:14
stolyar wrote:
(1) P=1 or 2
(2) P=2

Kudos [?]: 28530 [0], given: 5114

Intern
Joined: 04 Feb 2008
Posts: 10

Kudos [?]: 1 [0], given: 0

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14 Feb 2008, 21:54
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.

Kudos [?]: 1 [0], given: 0

Re: PRIMES   [#permalink] 14 Feb 2008, 21:54
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