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Groups > comp.lang.javascript > #29325
| From | Ben Bacarisse <ben.usenet@bsb.me.uk> |
|---|---|
| Newsgroups | comp.lang.javascript |
| Subject | Re: Primality sieve challenge |
| Date | 2016-01-18 19:28 +0000 |
| Organization | A noiseless patient Spider |
| Message-ID | <87ziw27kln.fsf@bsb.me.uk> (permalink) |
| References | <5b608a56-e16b-4467-a0ce-4e30f6796920@googlegroups.com> <n7guk8$s1v$1@gioia.aioe.org> <jb9q9b9gefblv051va88js4u5arthakqsf@4ax.com> <37264925.IaaGi9xk8D@PointedEars.de> |
Thomas 'PointedEars' Lahn <PointedEars@web.de> writes:
> Gene Wirchenko wrote:
>
>> […] All primes >= 5 are of the form 6k +/- 1 where k is a positive
>> integer.
>
> Interesting thesis. Prove it.
It's almost trivial. All integers >= 5 can be written in the form 6k+n
where n is in {-1, 0, 1, ... 4} and k > 0, but all those that have the
form 6k + {0, 2, 3, 4} are clearly composite.
This is a specific case of the more general observation that all
sufficiently large primes must have the form mk + n with m, n relatively
prime.
--
Ben.
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Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-17 01:40 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-17 02:20 -0800
Re: Primality sieve challenge Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-01-17 16:24 +0000
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-17 09:03 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-17 09:17 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-17 09:22 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-17 11:32 -0800
Re: Primality sieve challenge Stefan Weiss <krewecherl@gmail.com> - 2016-01-18 00:13 +0100
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-18 04:10 -0800
Re: Primality sieve challenge Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-01-18 01:20 +0000
Re: Primality sieve challenge "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2016-01-18 12:16 +0100
Re: Primality sieve challenge Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-01-18 11:25 +0000
Re: Primality sieve challenge "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2016-01-18 12:43 +0100
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-18 04:18 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-18 04:25 -0800
Re: Primality sieve challenge Gene Wirchenko <genew@telus.net> - 2016-01-18 09:52 -0800
Re: Primality sieve challenge "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2016-01-18 19:23 +0100
Re: Primality sieve challenge "Michael Haufe (TNO)" <tno@thenewobjective.com> - 2016-01-18 10:48 -0800
Re: Primality sieve challenge Gene Wirchenko <genew@telus.net> - 2016-01-18 13:09 -0800
Re: Primality sieve challenge Scott Sauyet <scott.sauyet@gmail.com> - 2016-01-18 13:14 -0800
Re: Primality sieve challenge "Evertjan." <exxjxw.hannivoort@inter.nl.net> - 2016-01-18 22:45 +0100
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-18 14:23 -0800
Re: Primality sieve challenge Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-01-18 22:56 +0000
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-18 15:02 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-18 16:04 -0800
Re: Primality sieve challenge Stefan Weiss <krewecherl@gmail.com> - 2016-01-19 02:42 +0100
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-18 23:34 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-19 01:34 -0800
Re: Primality sieve challenge "Michael Haufe (TNO)" <tno@thenewobjective.com> - 2016-01-19 06:23 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-19 07:10 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-19 07:15 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-19 08:34 -0800
Re: Primality sieve challenge Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-01-19 16:54 +0000
Re: Primality sieve challenge "Michael Haufe (TNO)" <tno@thenewobjective.com> - 2016-01-19 08:57 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-19 10:18 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-19 10:59 -0800
Re: Primality sieve challenge Stefan Weiss <krewecherl@gmail.com> - 2016-01-20 01:33 +0100
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-20 02:10 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-20 02:21 -0800
Re: Primality sieve challenge Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-01-20 10:45 +0000
Re: Primality sieve challenge "Michael Haufe (TNO)" <tno@thenewobjective.com> - 2016-01-20 06:43 -0800
Re: Primality sieve challenge Scott Sauyet <scott.sauyet@gmail.com> - 2016-01-20 15:21 -0800
Re: Primality sieve challenge Stefan Weiss <krewecherl@gmail.com> - 2016-01-21 03:18 +0100
Re: Primality sieve challenge Jon Ribbens <jon+usenet@unequivocal.co.uk> - 2016-01-21 12:12 +0000
Re: Primality sieve challenge Dr J R Stockton <reply1600@merlyn.demon.co.uk.invalid> - 2016-01-21 23:20 +0000
Re: Primality sieve challenge Stefan Weiss <krewecherl@gmail.com> - 2016-01-22 19:44 +0100
Re: Primality sieve challenge Dr J R Stockton <reply1600@merlyn.demon.co.uk.invalid> - 2016-01-23 21:50 +0000
Re: Primality sieve challenge Stefan Weiss <krewecherl@gmail.com> - 2016-01-24 01:26 +0100
Re: Primality sieve challenge "Michael Haufe (TNO)" <tno@thenewobjective.com> - 2016-01-23 17:54 -0800
Re: Primality sieve challenge "Chris M. Thomasson" <nospam@no-spam.ws> - 2016-01-24 13:34 -0800
Re: Primality sieve challenge Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-01-25 00:21 +0000
Re: Primality sieve challenge Stefan Weiss <krewecherl@gmail.com> - 2016-01-25 03:08 +0100
Re: Primality sieve challenge "Michael Haufe (TNO)" <tno@thenewobjective.com> - 2016-01-24 19:35 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-25 03:53 -0800
Re: Primality sieve challenge Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-01-18 19:32 +0000
Re: Primality sieve challenge Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-01-17 19:51 +0000
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-17 13:43 -0800
Re: Primality sieve challenge "Chris M. Thomasson" <nospam@nospam.nospam> - 2016-01-17 12:46 -0800
Re: Primality sieve challenge Gene Wirchenko <genew@telus.net> - 2016-01-18 09:50 -0800
Re: Primality sieve challenge Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2016-01-18 20:09 +0100
Re: Primality sieve challenge Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-01-18 19:28 +0000
Re: Primality sieve challenge Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2016-01-18 21:37 +0100
Re: Primality sieve challenge Scott Sauyet <scott.sauyet@gmail.com> - 2016-01-18 13:12 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-18 13:46 -0800
Re: Primality sieve challenge jonas.thornvall@gmail.com - 2016-01-18 14:00 -0800
Re: Primality sieve challenge Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2016-01-19 13:47 +0100
Re: Primality sieve challenge Ben Bacarisse <ben.usenet@bsb.me.uk> - 2016-01-19 14:04 +0000
Re: Primality sieve challenge Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2016-01-19 19:59 +0100
Re: Primality sieve challenge Scott Sauyet <scott.sauyet@gmail.com> - 2016-01-19 10:55 -0800
Re: Primality sieve challenge Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2016-01-19 20:04 +0100
Re: Primality sieve challenge Scott Sauyet <scott.sauyet@gmail.com> - 2016-01-19 13:42 -0800
Re: Primality sieve challenge Erwin Moller <erwinmollerusenet@xs4all.nl> - 2016-01-21 17:21 +0100
Re: Primality sieve challenge Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2016-02-03 19:52 +0100
Re: Primality sieve challenge Dr J R Stockton <reply1600@merlyn.demon.co.uk.invalid> - 2016-01-19 19:43 +0000
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