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
mushusax:
20180516 18:11:38
let m <= i <= n


anshuraj110:
20180514 20:47:38
http://www.spoj.com/submit/PRIME1/id=21660203


optimus007:
20180502 22:53:02
I am using segmented sieve with range using c++ stl but getting SIGABRT runtime error can anyone help.The code runs fine on ide. 

trunghieu99tt:
20180501 04:44:00
Hint: You can see that prime numbers always satisfy the 6n+1 and 6n1 conditions. So you can check a prime number by check if it is divisible by a number which satisfy 6n+1 or 6n1 ( of course, first you should check if it is less than 6).


thanhtc:
20180429 03:28:47
Anyone can do this with Sieve of Eratosthenes ? To me it works but gets time limit.I use C++ Last edit: 20180429 03:29:44 

shyaam kumaraselvan:
20180425 22:55:07
After years :/ 0.32 sec 

syfe:
20180416 18:57:42
I'm having TLE.


yemyelcee:
20180410 15:58:36
What does runtime error NZEC mean? 

nadstratosfer:
20180409 05:17:35
cobwebs, welcome to SPOJ. While many problems here have idiotic time limits preventing AC with a correct Python solution, this is not one of them. It's a great entry point to this site for a pythonist though, as putting work into AC here will reward you in many other problems. C coders can get away with ridiculous stupidity sometimes as the compiler will straighten it out, we can't; your program *has to* be elegant and efficient. There will be an immense satisfaction in other problems later on when daddy compiler can't help "AC in 1 go" usual suspects while your solution gets a green bar.


cobwebs:
20180408 06:42:02
my python3 algorithm can give the correct answer, but it always exceeds the time. The logic is exactly the same as a friend who coded in C++, but his doesn't exceed. Help.

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