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 3912
Statement 1: There are a total of 100 prime numbers between 1 and p+1
1,
2, 3, 5....p, p+1.
The values in red constitute the prime numbers between 1 and p+1.
Since there are a total of 100 prime numbers between 1 and p+1, p must be the 100th prime number.
Thus, the value of p can be determined.
SUFFICIENT.
Statement 2: There are a total of p prime numbers between 1 and 3912
Here, we can determine the value of p simply by counting the number of prime numbers between 1 and 3912.
SUFFICIENT.
The correct answer is
D.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
