2017-07-09, 05:07 | #1 |
May 2004
316_{10} Posts |
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).
Last fiddled with by devarajkandadai on 2017-07-09 at 05:08 |
Thread Tools | |
Similar Threads | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
Carmichael numbers | devarajkandadai | Number Theory Discussion Group | 14 | 2017-11-15 15:00 |
Devaraj numbers- necessary and sufficient condition | devarajkandadai | Number Theory Discussion Group | 7 | 2017-09-23 02:58 |
Carmichael Numbers | devarajkandadai | Miscellaneous Math | 0 | 2006-08-04 03:06 |
Carmichael Numbers II | devarajkandadai | Math | 1 | 2004-09-16 06:06 |
Carmichael Numbers | devarajkandadai | Math | 0 | 2004-08-19 03:12 |