Carmichael numbers and Devaraj numbers
In a recent post I had stated that although 561 is a Carmichael number in the subring 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 subring 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)*(4i).Appluing the formula for Pomerance index we find the relevant Pomerance index is (15i).( for difference between Carmichael numbers and Devaraj numbers see A104016 and A104017).

All times are UTC. The time now is 10:15. 
Powered by vBulletin® Version 3.8.11
Copyright ©2000  2022, Jelsoft Enterprises Ltd.