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Prime Nos.

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Source: — Data Sufficiency |

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by Anurag@Gurome » Tue Aug 09, 2011 8:59 pm
Spartacus2000 wrote:If p is a prime number greater than 2, what is the value of p?

(1) There are a total of 100 prime numbers between 1 and p+1

(2) There are a total of p prime numbers between 1 and 3,912

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(1) We can write the first 100 prime numbers. It is given that there are 100 prime numbers between 1 and p + 1, so p is the 100th prime number; SUFFICIENT.

(2) We can write all prime numbers between 1 and 3912 and count these numbers; SUFFICIENT.

The correct answer is D.
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by ArpanaAmishi » Tue Aug 09, 2011 11:00 pm
Anurag@Gurome wrote:
Spartacus2000 wrote:If p is a prime number greater than 2, what is the value of p?

(1) There are a total of 100 prime numbers between 1 and p+1

(2) There are a total of p prime numbers between 1 and 3,912

Thanks
(1) We can write the first 100 prime numbers. It is given that there are 100 prime numbers between 1 and p + 1, so p is the 100th prime number; SUFFICIENT.

(2) We can write all prime numbers between 1 and 3912 and count these numbers; SUFFICIENT.

The correct answer is D.
Hi Anurag,
Please elaborate on 2nd statment..I think question is looking for value of P not the counting.
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by Anurag@Gurome » Tue Aug 09, 2011 11:03 pm
ArpanaAmishi wrote:
Anurag@Gurome wrote:
Spartacus2000 wrote:If p is a prime number greater than 2, what is the value of p?

(1) There are a total of 100 prime numbers between 1 and p+1

(2) There are a total of p prime numbers between 1 and 3,912

Thanks
(1) We can write the first 100 prime numbers. It is given that there are 100 prime numbers between 1 and p + 1, so p is the 100th prime number; SUFFICIENT.

(2) We can write all prime numbers between 1 and 3912 and count these numbers; SUFFICIENT.

The correct answer is D.
Hi Anurag,
Please elaborate on 2nd statment..I think question is looking for value of P not the counting.
Statement 2 says "There are a total of p prime numbers between 1 and 3,912", which means if we count all the prime numbers between 1 and 3,912, then that will be the value of p. Hence, SUFFICIENT.
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by GmatKiss » Wed Aug 10, 2011 3:25 am
IMO:D

(1) There are a total of 100 prime numbers between 1 and p+1
(2) There are a total of p prime numbers between 1 and 3,912

Both gives us a particular range, hence p can be found!
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