PRIME1 - Prime Generator

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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.

Added by:Adam Dzedzej
Time limit:6s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel Pentium G860 3GHz)
Languages:All except: NODEJS PERL 6 SCM chicken

hide comments
hacker: 2015-04-20 22:27:24

primality test is the learning factor in this question

Coder: 2015-04-08 19:13:15

NZEC in java help me

Asheesh Pathak: 2015-04-07 21:56:53

Real Fun... Learnt many new things :)

Nikhil: 2015-04-04 07:31:51

The "Primality test" is the easiest method of solve this problem.

man: 2015-03-30 20:17:22

prime generator problem successfully compiled and run on my compiler codeblocks but here it shows time limit exceeded...why??

im9: 2015-03-29 18:36:11

I am facing wrong answer although its giving right answers on the cases I have tried

anonymous: 2015-03-28 18:09:27

I don't understand why my submition doen't pass spoj's test.
Here is my code:*********

Last edit: 2015-03-29 18:30:26
anup30: 2015-03-28 12:07:01

0.24 sec.

Last edit: 2015-03-28 12:41:49
dsr: 2015-03-26 06:00:51

OMG, this is tough...

Last edit: 2015-03-26 06:59:00
ranieri: 2015-03-25 04:52:17

Well, even though the algorithm takes less than .6s on a modest low power notebook, it seems to take more than 6 seconds to complete at the judge. I will be skipping it as there seems to be some problem with the judge.

(Francky) => There's no issue with the judge, just improve your method.

I don't think so. It was only possible using PyPy, which compiles JIT, so Python will always be handicapped since it's SLOW.

Last edit: 2015-03-25 16:33:49