SPOJ.com - Problem PRIME1

PRIME1 - Prime Generator

#number-theory

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.

Submit solution!

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	Asheesh Pathak: 2015-04-07 21:56:53 Real Fun... Learnt many new things :)
	Nikhil: 2015-04-04 07:31:51 The "Primality test" is the easiest method of solve this problem.
	man: 2015-03-30 20:17:22 prime generator problem successfully compiled and run on my compiler codeblocks but here it shows time limit exceeded...why??
	im9: 2015-03-29 18:36:11 I am facing wrong answer although its giving right answers on the cases I have tried
	anonymous: 2015-03-28 18:09:27 I don't understand why my submition doen't pass spoj's test. Here is my code: https://ideone.com/******* Last edit: 2015-03-29 18:30:26**
	anup30: 2015-03-28 12:07:01 0.24 sec. Last edit: 2015-03-28 12:41:49
	dsr: 2015-03-26 06:00:51 OMG, this is tough... Last edit: 2015-03-26 06:59:00
	ranieri: 2015-03-25 04:52:17 Well, even though the algorithm takes less than .6s on a modest low power notebook, it seems to take more than 6 seconds to complete at the judge. I will be skipping it as there seems to be some problem with the judge. (Francky) => There's no issue with the judge, just improve your method. I don't think so. It was only possible using PyPy, which compiles JIT, so Python will always be handicapped since it's SLOW. Last edit: 2015-03-25 16:33:49
	Seven.Martinez: 2015-03-23 17:45:51 first time to submit, it's accepted! :) look at http://en.wikipedia.org/wiki/Primality_test
	Utkarsh: 2015-03-16 08:07:47 No need to implement the sieve algorithm. After 6 WA, changed a bit in the basic approach (optimized it) and got it ACCEPTED . If you need any help mail me at utkarshg****@gmail.com. Language used : C++. (Francky) => If someone need any help, the forum is the well designed place. Last edit: 2015-03-16 09:54:52**

Submit solution!

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