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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	pbhadu21: 2019-06-18 10:13:21 @kiroma thanks dude, it really saved me ! :):)
	aman_sai18: 2019-06-17 21:01:54 How to do it python without getting run-time error
	yvanjaquino: 2019-06-10 22:32:30 Anyone tried this in python? How do you accept the input?
	emir_mirbekov: 2019-06-02 19:07:57 This exercise making me really mad because it says that I have tml but in ideone it takes 0.01seconds to execute and compile. In my opinion this problem is a bit wrong maybe its test case having problems.
	pyskmr: 2019-05-29 20:36:24 to check a prime number say x simply check from i =2 to i<=sqrt(x) you would never get TLE no need to use fancy data structures and all. THAT'S WHY THIS QUESTION IS UNDER NUMBER THEORY,BECAUSE CHECKING A NUMBER PRIME TILL ITS SQUARE ROOT IS A NUMBER THEORY CONCEPT OR DISCRETE MATHS CONCEPT Last edit: 2019-05-29 20:38:33
	saurav_paul: 2019-05-26 09:00:13 AC in one go . I used segmented sieve....
	saurav_paul: 2019-05-26 08:59:17 vortex733, you can use segmented sieve, it will save you from time limits exist;
	vortex733: 2019-05-22 10:08:03 how to fix time limit exceeded.
	kiroma: 2019-05-20 11:57:08 Reminder: 1 is not a prime.
	jnu_siddharth: 2019-05-16 13:15:55 AC in one go. Just think from the view of divisors,and solve it in bruteforce.

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