mersenneforum.org

mersenneforum.org (https://www.mersenneforum.org/index.php)
-   Math (https://www.mersenneforum.org/forumdisplay.php?f=8)
-   -   Carmichael Numbers II (https://www.mersenneforum.org/showthread.php?t=3043)

devarajkandadai 2004-09-14 02:35

Carmichael Numbers II
 
A CONJECTURE

Let N = p1p2....pr

The necessary and sufficient condition for N, an r-factor composite number,
to be a Carmichael Number:

(p1-1)(N-1)^(r-2)/ (p2-1)(P3-1)....(pr-1),

(p2-1)(N-1)^(r-2)/ (p1-1)(p3-1)... (pr-1),
.
.

.

(pr-1)(N-1)^(r-2)/(p1-1)......... (p(r-1)-1)

should ALL be integers.

A.K. Devaraj

devarajkandadai 2004-09-16 06:06

Carmichael Numbers II
 
I would be surprised if anyone can show a counter example.

Devaraj


All times are UTC. The time now is 23:27.

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