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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]  23 May 2003, 05:04
Is an integer P prime?

(1) P^2=P^P
(2) P! is prime
Founder
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Joined: 04 Dec 2002
Posts: 12741
Location: United States (WA)
GMAT 1: 750 Q49 V42
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Re: PRIMES [#permalink]  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
Founder
Affiliations: AS - Gold, UA - Silver, HH-Diamond
Joined: 04 Dec 2002
Posts: 12741
Location: United States (WA)
GMAT 1: 750 Q49 V42
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WE: Information Technology (Hospitality and Tourism)
Followers: 2634

Kudos [?]: 12487 [0], given: 3832

[#permalink]  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]  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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