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
luckytuvshee: 2017-10-15 02:17:42

Hi all. Please show me the source code? What is prime generator :) Help

jgaurav6: 2017-10-11 21:17:42

getting nzec error in java even with correct output :(

prasadjoshi: 2017-10-04 09:33:17

finally done in 0.58s in C++

mani_kasera: 2017-09-30 07:18:31

No need of advanced algorithm, just check if every no. in between, m and n is prime or not by running a loop from 2 to square root of that number. It will definitely work in c++.

Last edit: 2017-09-30 07:20:53
slothse7en: 2017-09-29 10:00:43

nhật hào sạch

killercode: 2017-09-28 19:41:03

using sieve of eratosthenes in python 3, still time limit exceeded wtf

nmirandaghn: 2017-09-27 10:57:24

What are the test cases of this puzzle?

anonymousamigo: 2017-09-25 12:01:42

use dynamic programming.
get k = sqrt(n)
check whether any prime less than k divides n perfectly.

bhoopeshkanna: 2017-09-22 07:39:01

Even I am getting Time limit exceeded, I am using java.... but when I check the system execution time coding wise my execution time is 0 secs... any one help please!!!!

Last edit: 2017-09-22 07:39:26
adi29raj: 2017-09-19 20:49:15

finally ,,done,,0.90s for c++


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