mersenneforum.org

mersenneforum.org (https://www.mersenneforum.org/index.php)
-   Number Theory Discussion Group (https://www.mersenneforum.org/forumdisplay.php?f=132)
-   -   Carmichael numbers and Devaraj numbers (https://www.mersenneforum.org/showthread.php?t=22446)

devarajkandadai 2017-07-09 05:07

Carmichael numbers and Devaraj numbers
 
In a recent post I had stated that although 561 is a Carmichael number in the sub-ring of rational integers it is only a pseudoprime in the ring of Gaussian integers. In fact I would be surprised if there are any Carmichael numbers in the ring of Gaussian integers other than those in the sub-ring of rational integers.However there are Devaraj numbers in the ring of Gaussian integers other those in the subring of rational integers.Example: Let N = (2 - i)*(3+2i)*(4-i).Appluing the formula for Pomerance index we find the relevant Pomerance index is (1-5i).( for difference between Carmichael numbers and Devaraj numbers see A104016 and A104017).


All times are UTC. The time now is 23:32.

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