题目描述
Let's define the function F(l,r) :
$F(l,r) = \sum x, \forall x$ , where x is a prime number between l and r inclusive.
In Short, for each function F(l,r) you need to find the summation of all primes between the integers l and r inclusive.
Now, you shall be given multiple queries. In each query, you shall be given the integers l and r and you need to find the result of the function F(l,r)
Input Format:
The first line contains a single integer N denoting the number of queries. Each of the next N lines contains two integers l and r denoting the parameters of the i^{th} query.
Output Format:
For each query, output the answer on a new line.
Constraints
For 30 Points:
1 ≤q N ≤q 1000
1 ≤q l ≤q r ≤q 1000
For the next 70 Points:
1 ≤q N ≤q 5*10^5
1 ≤ l ≤ r ≤ 10^6
SAMPLE INPUT
2
1 6
4 13
SAMPLE OUTPUT
10
36
Explanation
For the 1^{st} query, the primes between 1 and 6 are 2, 3 and 5. Thus the answer= 2 + 3 + 5 = 10.
Similarily, for the second query, Answer = 5 + 7 + 11 + 13 = 36.
输入格式
见题面
输出格式
见题面