PRIME1 - Prime Generator

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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.

Added by:Adam Dzedzej
Date:2004-05-01
Time limit:6s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel Pentium G860 3GHz)
Languages:All except: NODEJS PERL 6 SCM chicken

hide comments
hacker_1995: 2015-07-04 09:45:44

IT CAN BE IMPLEMENTED USING SEIVE OF ERASTHRONES. I SUGGEST YOU TO GO THROUGH THIS FIRST AND IF YOU FIND DIFFICULTIES YOU CAN SEE THE CODE HERE
https://hackerstheory.wordpress.com/2015/07/04/spoj-2-prime-1/

harshgupta007: 2015-07-02 13:46:59

pls help me out
on ideone this code is runnning but here it is showing error
http://ideone.com/4rQfX0

kratigarg167: 2015-06-29 14:40:11

My code is working fine on my pc but here I am getting wrong answer and following error:
Exception in thread "main" java.util.NoSuchElementException
at java.util.Scanner.throwFor(Scanner.java:862)
at java.util.Scanner.next(Scanner.java:1485)
at java.util.Scanner.nextInt(Scanner.java:2117)
at java.util.Scanner.nextInt(Scanner.java:2076)
at Main.main(Main.java:15)
why is this happening? Someone help me please

Last edit: 2015-06-29 14:49:36
knabmn: 2015-06-28 21:11:50

Why I get everytime a timeout error?

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