Re: [algogeeks] Re: how to find a smallest prime bigger than a given number

2011-05-20 Thread immanuel kingston
http://en.wikipedia.org/wiki/Sieve_of_Eratosthenes On Thu, May 19, 2011 at 1:47 AM, Don dondod...@gmail.com wrote: Yes. Use a sieve. Don On May 17, 11:36 pm, wujin chen wujinchen...@gmail.com wrote: @Dave, thanks for your reply. i know that, i can only check from 6*n - 1 and 6*n + 1..

[algogeeks] Re: how to find a smallest prime bigger than a given number

2011-05-18 Thread Don
Yes. Use a sieve. Don On May 17, 11:36 pm, wujin chen wujinchen...@gmail.com wrote: @Dave, thanks for your reply. i know that, i can only check from 6*n - 1 and 6*n + 1.. assume that, n=1 , and we begin from k=1667, the number needed to check is 10001,10003 but to determin 10001 is

[algogeeks] Re: how to find a smallest prime bigger than a given number

2011-05-17 Thread Dave
@Wujin: Well, obviously, you don't have to check _every_ number one-by- one. If n 1, you can ignore every even number. Furthermore, if n 3, you can ignore every odd multiple of 3. That means that you need to check only numbers of the form 6*n - 1 and 6*n + 1. Dave On May 17, 9:09 pm, wujin

Re: [algogeeks] Re: how to find a smallest prime bigger than a given number

2011-05-17 Thread wujin chen
@Dave, thanks for your reply. i know that, i can only check from 6*n - 1 and 6*n + 1.. assume that, n=1 , and we begin from k=1667, the number needed to check is 10001,10003 but to determin 10001 is prime or not costs a lot, right? when the n is huge, it will be not feasible. is there