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, n-m<=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
5
Warning: 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
pop1912: 2019-07-10 05:33:11

It says TIME LIMIT EXCEEDED, but my JAVA code is perfect, what I must do to reduce Time, I'm a non-CS student, Wrote code using for loops...

phatkararnav: 2019-07-06 20:35:25

Just a few tips :-
1):- If you use array indexing above 10^8 you will get NZEC error.
2):- In this Segmented Sieve algorithm is used. Before learning this first learn Simple Sieve of Eratosthenes.

thananhthien: 2019-07-03 11:54:56

Search MaxNumber, then Eratosthenes

ing3ns: 2019-06-29 19:04:52

use aks

letschange: 2019-06-28 11:50:59

We just have to eliminate redundant calculations from the standard way of checking the same.
Example 16: Not a prime
1 x 16,
2 x 8,
4 x 4,
8 x 2, (redundant)
16 x 1 (redundant)

scolar_fuad: 2019-06-24 18:22:50

finally i solved it using segmented seive ....All the best for every one

dexu5: 2019-06-24 15:42:14

Wanted to understand what is the issue with my solution ? Any help is appreciated. Link : <snip>

Last edit: 2023-05-27 17:55:54
debartha_007: 2019-06-24 07:22:52

Everytime...its saying time limit exceeded though my program is only 32 lines

aarohan2kv: 2019-06-24 06:18:49

Use Sieve of Eratosthenes

nananaw1: 2019-06-23 23:22:37

hate how i compile my code on my ide and it works but always getting error for this site
bs


Added by:Adam Dzedzej
Date:2004-05-01
Time limit:6s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6