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Old 2017-07-09, 05:07   #1
devarajkandadai
 
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May 2004

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Default 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
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