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, nm<=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 5Warning: 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
tyrion_909:
20200107 14:22:12
isprime package is working on my PC,but not here.Explain somebody ,please? 

tamaroth:
20200106 17:03:00
Well, you cannot use external libraries in python it seemed. I've tried using a 'primesieve' library but it always ends with NZEC ;\ 

ankurkayal:
20200102 19:09:08
using a naive method works as nm = 100000; which is pretty low to get the solution accepted and sieve will give memory error, but you can use sieve of atkin if you want. 

ashu_gupta23:
20200102 10:07:34
i use sieve of erotheseness but it still show run time error can someone help me


awkravchuk:
20200101 21:23:31
I'm getting NZEC, where can I see the error? 

aryan__0406:
20191228 20:01:28
I used segmented sieve still its taking too much time.


cardcounter21:
20191226 03:09:11
It turns out that it does not support input() for python3, I don't know why, but it says TLE, when it achieves the goal in less than 1 second. 

krishp:
20191222 03:12:24
I am pretty sure that simple sieve will not work as it only reliably works for numbers from 1 to 10,000,000 without causing segmentation fault on c++. Use sieve of atkin for better results. 

abhrant:
20191219 21:22:02
can i use isprime package in python???


amishbhat04:
20191218 09:43:20
getting tle ..... I used eratothenes sieve.....

Added by:  Adam Dzedzej 
Date:  20040501 
Time limit:  6s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS PERL6 