Problem: Karan's mathematics professor has given him a lots of homework. Since he is busy preparing for September Easy Challenge, he needs your help.

Given two numbers, find the sum of prime numbers between them, both inclusive. 

Input:

The first line contains the number of test cases T. Each test case contains two space separated integers.

Output:

Print the answer on a new line for each case.

Constraints:

1 ≤ T ≤ 100

1 ≤ a,b < 10^6

SAMPLE INPUT
1
1 5

SAMPLE OUTPUT
10

Solution (in PYTHON):

Solution:
def primes(n): # sieve of eratosthenes
    ps, sieve = [], [True] * (n + 1)
    for p in range(2, n + 1):
        if sieve[p]:
           ps.append(p)
           for i in range(p * p, n + 1, p):
               sieve[i] = False
    return ps
    
t = input()
while(t):
    t -= 1
    start,end = map(int,raw_input().split())
    arr = primes(end)
    arr = filter(lambda x: x>=start,arr)
    print sum(arr)