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
aagnihotri: 2015-06-28 19:55:22

This was a tough one. I used PHP. You should look into the Miller-Rabin method. And check to see if there is a native implementation of it.

dumborakesh: 2015-06-28 17:55:06

Can any one help? What to do.... Time limit exceed

dumborakesh: 2015-06-28 17:52:56

Omg .. Time limit exeed .. What is this ... ?? 5 time

Ashish: 2015-06-27 10:36:48

AC in first go, 0.00 :)

adityaparmar: 2015-06-26 22:22:41

take uint variable
and I*I instead of math.sqrt in loops
no runtime error will be faced

atg_abhishek: 2015-06-26 18:17:55

Works correctly here but I still keep getting a NZEC, can anyone help? http://ideone.com/4McRBf

poojan : 2015-06-26 17:58:02

why wrong ans?????????????????????????????????????????????????????

nihalar: 2015-06-24 21:45:03

Here are some tips for faster execution:
1. Only check odd numbers (All even numbers are non prime except 2)
2. Make the condition i<=Math.sqrt(n)
Hope it helps! :)

ankur_gupta54: 2015-06-23 10:09:28

Can anyone help me... I am getting tle?

rohanp_91: 2015-06-22 14:59:22

I can't be sure about one thing. The constraints given on the inputs, are they already provided? As in can we take them as given or do we have to check for them?


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