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
krishp: 2020-04-12 18:40:46

I am very confused now. I tried doing a brute force prime checker (using sqrt of number and looping through), O(loglogn) sieve, and an O(n) sieve and I still get TLE using PYTHON3.

nra: 2020-04-11 17:51:09

"time limit exceeded" every time I run it :( though it runs fine in my machine! any pointers?
PS: I am using the sqrt method already!

Last edit: 2020-04-11 18:40:36
the_nine_tail: 2020-04-09 07:33:11

@shruthi123 use long int for such case

trulyness: 2020-04-08 19:12:53

I tried this problem with sieve, but it doesn't seem to work in this case. Can anyone tell me why that's the case? But just writing an isPrime function that simply loops till the square root of n works. Why is that so?

sang611: 2020-04-08 12:12:32

One punch AC :))

anand_yadav1: 2020-04-06 12:11:27

Don't getting why the f*** this is giving me wring answer. Done everything right, I'm 100% sure.

soni_p: 2020-04-05 16:25:02

I am getting correct o/p in ideone, but it's showing wrong answer here, can someone explain why?

shruthi123: 2020-03-31 17:28:49

Can any one explain me how to print the inputs m and n with this condition (1 <= m <= n <= 1000000000, n-m<=100000) . I am writing the code in c++, and I am not knowing how to give the inputs.

anshbhatti: 2020-03-30 04:29:08

I am getting a TLE (Time Limit Exceeded) when the code works in my IDE. My code is simply looping through square root of each number to check if it's prime.

Last edit: 2020-03-30 04:29:49
ali_a: 2020-03-27 12:49:11

use trial division method. Run the loop till sqrt of n. No need to use any kind of Sieves for this simple problem.


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