Problem E: Count DePrimes
Time Limit: 3 seconds
A number is called a DePrime if the sum of its prime factors is a prime number.
Given a and b count the number of DePrimes xi such that a<=xi<=b.
Input Format:
Each line contains a and b in the format "a b". 2<=a<=5000000. a<=b<=5000000.
Input is terminated by a line containing 0.
Output Format:
Each line should contain the number of DePrimes for the corresponding test case.
Sample Input:
2 5
10 21
100 120
0
Sample Output:
4
9
9
Explanation :
In Test Case 2, take 10. Its Prime Factors are 2 and 5. Sum of Prime Factors is 7, which is a prime . So, 10 is a DePrime.
___________________________________________________________________________________________________________________________
Problem Setter: Ramgopal K
Written for Samhita '08