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.

hide comments
Muhammad Ridowan: 2013-03-13 22:12:29

Its simple Segmented Sieve(Although implementing not so simple)

sxpeter: 2013-03-13 22:12:29

Do remember: 1 is NOT a prime number.

seyyed mohammad razavi: 2013-03-13 22:12:29

yes!!!you must divide numbers to 2 part:(1) befor 1000000 (2)after 1000000

Last edit: 2009-04-11 16:33:00
[Trichromatic] XilinX: 2013-03-13 22:12:29

Please make sure that your algorithm is fast enough to handle input cases like 999900000 1000000000.


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