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!


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.


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.


1 10
3 5


Warning: large Input/Output data, be careful with certain languages (though most should be OK if the algorithm is well designed)


After cluster change, please consider PRINT as a more challenging problem.

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vibavari: 2020-02-10 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: 2020-01-29 13:19:48

AC in 1st attempt. XD

dchhitarka: 2020-01-25 10:43:30

My code(Python3) is working fine on and everywhere else but its showing time limit exceeded when I submit it. Can anyone help me?

cmao: 2020-01-22 23:58:50

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

nadstratosfer: 2020-01-22 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:

Dig up an older comment of mine here for longer story about taking on C limits with Python. Welcome to SPOJ and good luck.

cmao: 2020-01-22 03:08:16

good explanation:<-------------------snip--->

=(Francky)=> Please don't spoil in comments. Use forum for those kind of links, or codes. Please read the notes below before posting a comment.

Last edit: 2020-01-22 21:07:06
cmao: 2020-01-22 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: 2020-01-22 02:59:20
ericwen46: 2020-01-16 08:30:05

Is there anyone using the swift programming language?

tyrion_909: 2020-01-07 14:22:12

isprime package is working on my PC,but not here.Explain somebody ,please?

tamaroth: 2020-01-06 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
Time limit:6s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6