For each positive integer m>1, let P(m) denote the greatest prime factor of m. For how many positive integers n is it true that both P(n)=\sqrt{n} and P(n+48)=\sqrt{n+48} ?
Answer Choices
A. 0
B. 1
C. 3
D. 4
E. 5
For each positive integer m>1, let P(m) denote the greatest prime factor of m. For how many positive integers n is it true that both P(n)=\sqrt{n} and P(n+48)=\sqrt{n+48} ?
Answer Choices
A. 0
B. 1
C. 3
D. 4
E. 5