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

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