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# If p is a prime number greater than 2, what is the value of

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Joined: 04 May 2006
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If p is a prime number greater than 2, what is the value of [#permalink]  05 Apr 2008, 00:22
If p is a prime number greater than 2, what is the value of p?

1. There are total of 100 prime numbers between 1 and p+1
2. There are total of p prime numbers between 1 and 3912

Friends,

Pls give me a hand!
Many thanks
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Manager
Joined: 02 Mar 2008
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Concentration: Finance, Strategy
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Re: PRIME NUMBER [#permalink]  05 Apr 2008, 00:51
If p is a prime number greater than 2, what is the value of p?

1. There are total of 100 prime numbers between 1 and p+1
2. There are total of p prime numbers between 1 and 3912

It just asks to determine, we don't need to count (it's not PS but DS )
D
(1) count 100 prime number, the 100th is p
(2) count from 1->3912
CEO
Joined: 17 Nov 2007
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Re: PRIME NUMBER [#permalink]  05 Apr 2008, 00:55
Expert's post
Slightly later...

D

It is "true" DS. We have not to solve the problem, we have to say that the problem can be solved.

1. There are total of 100 prime numbers between 1 and p+1
The condition unambiguously says that p is 100th prime number. So, we can write out all 100 consecutive primes numbers and find p. sufficient.

2. There are total of p prime numbers between 1 and 3912.
the same logic as in the fist condition. sufficient.

I even dare to say that p=3911. Why? Because I did not remember any DS, in which 2 conditions will be sufficient separately and lead to different values.
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CEO
Joined: 17 Nov 2007
Posts: 3577
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 408

Kudos [?]: 2168 [0], given: 359

Re: PRIME NUMBER [#permalink]  05 Apr 2008, 01:03
Expert's post
walker wrote:
I even dare to say that p=3911. Why? Because I did not remember any DS, in which 2 conditions will be sufficient separately and lead to different values.

No. 3911 is a 541th prime number.....
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SVP
Joined: 04 May 2006
Posts: 1936
Schools: CBS, Kellogg
Followers: 19

Kudos [?]: 449 [0], given: 1

Re: PRIME NUMBER [#permalink]  05 Apr 2008, 01:13
walker wrote:
walker wrote:
I even dare to say that p=3911. Why? Because I did not remember any DS, in which 2 conditions will be sufficient separately and lead to different values.

No. 3911 is a 541th prime number..... :?

Hey,

The color one is exactly what I want to learn from you, guys. I have the same logic approach as your. I think if it is a PS, maybe we must seat and list all the prime number from 2 to p+1. That is imppossible for me. That is why I need your hand!
Thanks

No. 3911 is a 541th prime number. I think you do not need to seat a time to count each number. Right?
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Re: PRIME NUMBER [#permalink]  05 Apr 2008, 01:16
Hmm, i won't count, guess my 20% and move... if i count to 15 prime numbers or even less, i surely mix them up
CEO
Joined: 17 Nov 2007
Posts: 3577
Concentration: Entrepreneurship, Other
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Kudos [?]: 2168 [0], given: 359

Re: PRIME NUMBER [#permalink]  05 Apr 2008, 01:39
Expert's post
Of cause, I did not count, I just used google to check up my assumption...
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Re: PRIME NUMBER   [#permalink] 05 Apr 2008, 01:39
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