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
narutoumania:
20170511 11:04:58
clue: NO SEIVE ,NO SEGMENTED SEIVE,JUST SOME OPTIMISATION IN NORMAL WAY


gauge2727:
20170507 22:58:08
My Python 3.x solution runs perfectly fine (and relatively quickly) ideone and on my local system, given the sample inputs provided in the description and on test cases of primes up to at least 2 million, but times out on submission for the problem. 

elegantalgo:
20170428 16:51:35
At first I thought that it is impossible to solve this problem in Python because it takes more than 30 seconds to generate 1 billion primes with the most efficient prime sieve (+ memory inefficient code), but then I thought about (nm <= 100000) constraint. It took me lot of time to write a bug free segmented prime sieve (sieve which generates primes only between [m, n]). I solved this problem within 0.12 seconds and I am sure that my code can be made twice as efficient as it currently is :D


rohit9934:
20170423 10:40:11
Same Solution without Sieve or Segmented Sieve(Time Limit 3 sec :p)


shahroz14:
20170419 11:38:50
All natural numbers are either a prime or a multiple of a prime except 1. Last edit: 20170419 11:39:42 

secretninja007:
20170416 13:40:10
just use simple logic with long long int and run loop till sqrt(n) it would work,don't use segmented sieve if you are a beginner 

supriya_jah:
20170414 11:25:37
I am writing in Java, and the time is 0.06, still it says time limit exceeded. :( 

coolboi567:
20170412 22:51:15
@zero_shubham : nope.. Python is slow for that range of prime numbers and generates lots of intermediate datas that causes the either time limit or memory limit errors... 

zeroq:
20170410 18:14:39
TLE with java using sqrt. Any tips 

zero_shubham:
20170410 14:27:56
anyone successfully did it with python3? 
Added by:  Adam Dzedzej 
Date:  20040501 
Time limit:  6s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS PERL6 