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 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
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trunghieu99tt:
2018-05-01 04:44:00
Hint: You can see that prime numbers always satisfy the 6n+1 and 6n-1 conditions. So you can check a prime number by check if it is divisible by a number which satisfy 6n+1 or 6n-1 ( of course, first you should check if it is less than 6).
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thanhtc:
2018-04-29 03:28:47
Anyone can do this with Sieve of Eratosthenes ? To me it works but gets time limit.I use C++ Last edit: 2018-04-29 03:29:44 |
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shyaam kumaraselvan:
2018-04-25 22:55:07
After years :/ 0.32 sec |
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syfe:
2018-04-16 18:57:42
I'm having TLE.
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yemyelcee:
2018-04-10 15:58:36
What does runtime error NZEC mean? |
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nadstratosfer:
2018-04-09 05:17:35
cobwebs, welcome to SPOJ. While many problems here have idiotic time limits preventing AC with a correct Python solution, this is not one of them. It's a great entry point to this site for a pythonist though, as putting work into AC here will reward you in many other problems. C coders can get away with ridiculous stupidity sometimes as the compiler will straighten it out, we can't; your program *has to* be elegant and efficient. There will be an immense satisfaction in other problems later on when daddy compiler can't help "AC in 1 go" usual suspects while your solution gets a green bar.
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cobwebs:
2018-04-08 06:42:02
my python3 algorithm can give the correct answer, but it always exceeds the time. The logic is exactly the same as a friend who coded in C++, but his doesn't exceed. Help.
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karan_yadav:
2018-03-30 05:43:07
0.88s :) |
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Johnny Nonsense:
2018-03-24 21:19:16
I completed this in C++ without using sieve. You can run these tests faster by retaining a list of primes from one test to the next. Extend the list as necessary, up to and not exceeding sqrt(M). When determining whether a number is prime, you only have to divide it by all prime numbers in the list up to the square root of the test number. If this method doesn't work in some language other than c++, then maybe the tester is too restrictive in the time constraint for that particular language. I hope that this makes sense. |
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skandrajmeet:
2018-03-23 10:32:34
please somebody tell me why my code is giving WA .its running perfectly fine for large numbers too.
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| 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 |
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