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
darsna19: 2020-10-07 09:16:12

@maxcool Find it in GitHub that's where :)

dtosidis: 2020-10-05 02:01:20

That was awsome!

Last edit: 2020-10-06 21:20:37
kya_bantai: 2020-10-04 06:10:37

segmented seive

maxcool: 2020-09-30 14:05:25

Where to find its solution

grazier_shahid: 2020-09-30 07:29:40

how much time limit and memory limit?

brofistaman: 2020-09-27 21:24:37

says time limit exceeded

cang: 2020-09-23 20:52:15

It keeps saying runtime error even though it seems to work perfectly fine whenever I compile it myself with the g++ compiler. Not sure how to fix this.

dip707: 2020-09-16 10:38:08

its showing wrong answer but it works correctly on ideone for JAVA

Last edit: 2020-09-16 10:38:23
yogeshk_108: 2020-09-14 10:00:08

better if you use segmented seive without pre-generate all prime numbers upto sqrt(R);

prakharrai: 2020-09-12 20:07:38

To anyone who reads , normal n^2 approach (2 loops) or sieve of erothnes wont work! Try something else


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