mersenneforum.org  

Go Back   mersenneforum.org > Extra Stuff > Science & Technology

Reply
 
Thread Tools
Old 2005-03-02, 00:49   #1
David John Hill Jr
 
David John Hill Jr's Avatar
 
Jun 2003
Pa.,U.S.A.

22·72 Posts
Default Genetics and Wilson's theorem

Remembering that a little knowledge can be a dangerous thing, but
for any who are involved,
in HIV analysis,
if one analyzes a continuing factorial, as applying applying Wilson's theorem with Fermat, gone awry,in zipping throug helixes and primes,
might this not be a method of detailing the faults?
David John Hill Jr is offline   Reply With Quote
Old 2006-03-22, 22:59   #2
Bundu
 
Bundu's Avatar
 
Jul 2004
Mid Calder, Scotland

5·37 Posts
Default

Interesting
Bundu is offline   Reply With Quote
Old 2006-05-10, 14:10   #3
David John Hill Jr
 
David John Hill Jr's Avatar
 
Jun 2003
Pa.,U.S.A.

22·72 Posts
Default Re: Fermats little theorem and Wilson's theorem

I thought I saw yesteday a posting regarding Fermats little theorem.
From what I can tell, formally Fermats little theorem usually has applied
to it ,more often than not ,congruence methods, to obtain, Wilson, as ---
if p is prime then p divides (p-1)!+1, --and then the converse---.
I understand this was before 1770(Sir John Wilson) observed by Leibniz,
and proved in 1778 by LaGrange. Wilson's theorem is considered necessary and sufficient for primeness, while generally recognized as too large to be of use.
Extensions of Wilson and also base classes are interesting if not important in other developements, though unlike Fermats little theorem it is not thought of as a means of generating primes.
(I did a little reference reading homework last night to come up with this short reply, to that which appears to have been withdrawn)
David John Hill Jr is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Wilson-prime search practicalities R. Gerbicz Computer Science & Computational Number Theory 138 2015-12-26 17:27
My(?) Three body theorem. davieddy Math 1 2011-08-08 03:14
odds in genetics. science_man_88 Science & Technology 10 2010-11-09 22:01
Cross's Theorem. mfgoode Puzzles 2 2005-07-10 16:12
Generalized wilson's theorem bouayoun Math 3 2004-03-12 18:24

All times are UTC. The time now is 07:41.


Mon Dec 6 07:41:47 UTC 2021 up 136 days, 2:10, 0 users, load averages: 1.35, 1.37, 1.35

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.