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.

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

hide comments
2020-09-14 10:00:08
better if you use segmented seive without pre-generate all prime numbers upto sqrt(R);
2020-09-12 20:07:38
To anyone who reads , normal n^2 approach (2 loops) or sieve of erothnes wont work! Try something else
2020-09-09 18:10:27
Getting a tle when using sieve...
even in cpp

Last edit: 2020-09-09 20:05:06
2020-09-09 11:27:14
solved it with common lisp!!!
2020-09-06 15:30:36
Easy one. AC ⭐️
2020-09-06 06:36:02
used sieve, and it always gives segmentation fault after 46349, any idea what I should do?
2020-08-28 08:19:02
I used Segmented Sieves but it give a time limit exceeded error. Is there a better way to do it?
2020-08-17 19:02:17
just return false if divisible by 2
2020-08-13 16:08:25
my standard input is empty,what should i do
2020-08-08 09:18:11
segmented sieve makes it a charm
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