Carmichael 3 strong pseudoprimes: Difference between revisions

Content added Content deleted
(Small changed in Ruby entry)
mNo edit summary
Line 1: Line 1:
{{task}}
{{task}}
A lot of composite numbers can be seperated from primes by Fermat's Little Theorem, but there are some that completely confound it. The [[Miller-Rabin primality test|Miller Rabin Test]] uses a combination of Fermat's Little Theorem and Chinese Division Theorem to overcome this.
A lot of composite numbers can be separated from primes by Fermat's Little Theorem, but there are some that completely confound it. The [[Miller-Rabin primality test|Miller Rabin Test]] uses a combination of Fermat's Little Theorem and Chinese Division Theorem to overcome this.


The purpose of this task is to investigate such numbers using a method based on [[wp:Carmichael number|Carmichael numbers]], as suggested in [http://www.maths.lancs.ac.uk/~jameson/carfind.pdf Notes by G.J.O Jameson March 2010].
The purpose of this task is to investigate such numbers using a method based on [[wp:Carmichael number|Carmichael numbers]], as suggested in [http://www.maths.lancs.ac.uk/~jameson/carfind.pdf Notes by G.J.O Jameson March 2010].