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
vibavari:
20200210 16:34:33
My sample case is giving the correct output in idone, no extra spaces or extra lines. but its giving wrong answer while i submit it in SPOJ. Please help 

tushar_dhote:
20200129 13:19:48
AC in 1st attempt. XD 

dchhitarka:
20200125 10:43:30
My code(Python3) is working fine on ideone.com and everywhere else but its showing time limit exceeded when I submit it. Can anyone help me? 

cmao:
20200122 23:58:50
thanks @nadstratosfer. I will not give up on this simple question and will solve it in python :) 

nadstratosfer:
20200122 12:02:38
cmao, TL is the same for all languages indeed but majority of problems can be solved in Python when correct algorithm is used and the code is free of redundancies. Here, TL is more than enough:


cmao:
20200122 03:08:16
good explanation:


cmao:
20200122 02:58:33
same code is running fine in c++ with exactly same logic but in Python 3 it is throwing me TLE. I am using sqrt logic both in c++ and Python and not sieve algorithm. Does this mean that SPOJ time limits are the same irrespective of languages used? That would be terrible. anyone else able to solve Prime problem with python 3, without sieve with sqrt and achieved success? Last edit: 20200122 02:59:20 

ericwen46:
20200116 08:30:05
Is there anyone using the swift programming language? 

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