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, nm<=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 5Warning: 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
arpitjha:
20200424 14:13:51
Last edit: 20200424 14:14:55 

hks_13:
20200418 15:41:16
sqrt is enough , add 6k+1/6k1 logic if needed. Last edit: 20200418 15:47:43 

user_666:
20200413 14:48:06
Guys, just use the sqrt and 6k+1 & 6k1 method and ur solution will be accepted..not need to use the sieve method..All The Best!! 

krishp:
20200412 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:
20200411 17:51:09
"time limit exceeded" every time I run it :( though it runs fine in my machine! any pointers?


the_nine_tail:
20200409 07:33:11
@shruthi123 use long int for such case 

trulyness:
20200408 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:
20200408 12:12:32
One punch AC :)) 

anand_yadav1:
20200406 12:11:27
Don't getting why the f*** this is giving me wring answer. Done everything right, I'm 100% sure. 

soni_p:
20200405 16:25:02
I am getting correct o/p in ideone, but it's showing wrong answer here, can someone explain why? 
Added by:  Adam Dzedzej 
Date:  20040501 
Time limit:  6s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS PERL6 