PRIME1 - Prime Generator

Peter wants to generate some prime numbers for his cryptosystem. Help him! Your task is to generate all prime numbers between two given numbers!

Input

The input begins with the number t of test cases in a single line (t<=10). In each of the next t lines there are two numbers m and n (1 <= m <= n <= 1000000000, n-m<=100000) separated by a space.

Output

For every test case print all prime numbers p such that m <= p <= n, one number per line, test cases separated by an empty line.

Example

Input:
2
1 10
3 5

Output:
2
3
5
7

3
5
Warning: large Input/Output data, be careful with certain languages (though most should be OK if the algorithm is well designed)

Information

After cluster change, please consider PRINT as a more challenging problem.

Added by:Adam Dzedzej
Date:2004-05-01
Time limit:6s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6

hide comments
2020-03-18 12:59:01
aparna_15
You need to use segmented sieve to avoid TLE error as the upper bound is more than 10^8.
2020-03-18 05:09:39
puede
2020-03-16 09:36:30
when i am running my code in other ide... my code is correct and giving the correct output but when i submit it here its givng time limit exceeded error.
Can someone help me here?

Last edit: 2020-03-16 09:41:18
2020-03-10 11:16:15
@sobrevivente, the first line is t (number of test cases).
2020-03-08 21:26:23
I don't understand how mine doesn't work:
2}> 2
1 10}> 2 3 5 7
3 5}> 3 5
It says wrong answer, can someone help me?
2020-03-08 03:39:21
I use sieve of Eratosthenes in python but it still gave time limit exceeded. What can i do
2020-02-21 08:36:09
wow the time limit is large
2020-02-21 08:35:41
Easy AC
2020-02-19 02:51:53
segment sieve or bit-wise sieve will be the best choice for beginner
2020-02-17 18:38:37
yes, time limit is constant for all languages , i used sqrt and odd number method got accepted.
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