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# If integer p is greater than 1, is p a prime number?

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Re: If integer p is greater than 1, is p a prime number? [#permalink]
Bunuel wrote:
If integer p is greater than 1, is p a prime number?

(1) p is odd.

(2) The only positive factors of p are 1 and p.

(1) p is odd.

P = 3

P =15

Insufficient

(2) The only positive factors of p are 1 and p.

This is the definition of prime number.

2,3,5,7...etc all have 2 factors 1 & itself

Sufficent

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Re: If integer p is greater than 1, is p a prime number? [#permalink]
Here's a video explanation on YouTube. As others have noted, statement (2) is really just one way of writing he definition of a prime number.

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Re: If integer p is greater than 1, is p a prime number? [#permalink]
Hello Everyone,

if this question is listed in the Error Log as Sub-600 difficulty, does it mean it might be below 500?
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Re: If integer p is greater than 1, is p a prime number? [#permalink]
Statement 1 - Insufficient
P could be 5 or 15.

Statement 2 - An integer with 2 positive factors 1 and itself is a prime number
Sufficient
Re: If integer p is greater than 1, is p a prime number? [#permalink]
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