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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skandrajmeet: 2018-03-23 10:32:34

please somebody tell me why my code is giving WA .its running perfectly fine for large numbers too.
please suggest some sample test cases to try .code <script src="" type="text/javascript" ></script>

badasshackme: 2018-03-08 17:58:16

Segmented sieve is the solution, but you need to implement it properly or you will hit TLE. For example, see

jhanji999: 2018-03-06 15:08:28

what is sc here btw a total noob here

porsamini: 2018-03-05 07:07:47

Yeah, sieve is not necessary

sky_scraper: 2018-03-02 14:26:12

segmented seive means applying simple seive again on already computed primes(small range) to get primes ahead

candyzack: 2018-02-19 08:38:46

anyone got AC in python 3? i am using segment sieve... still TLE

elliotto: 2018-02-14 01:47:46

-deleted by me- =)

Last edit: 2018-02-14 02:15:30
ltt_krzaq: 2018-02-12 23:28:35

ARH.... my (C++) code works perfectly fine, but i get 'wrong answer' all the time.... this sucks if you don't get any advice why it's wrong if it works..... :/

nikhil_jsk: 2018-02-12 13:32:02

I've used 2 to sqrt(number) to solve the problem.Solution is accepted but the time is over 1 sec(1.15). How do I reduce the compilation time. BTW I've used C++ to code.

ducluong: 2018-02-10 14:23:56

Last edit: 2018-02-10 14:24:05

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