20180728, 05:14  #1 
May 2004
2^{2}·79 Posts 
Devaraj numbers which act like Carmichael numbers
In the ring of Gaussian integers 33  4*I = (2  I)*(3+2*I)*(4I) is a Devaraj number ( ref: A 104016 and A 104017 in OEIS ) which acts like a Carmichael number with reference to modified Fermat's theorem excepting when p = 5, 13 and 17 (norms of the three factors).
Recall modified Fermat's theorem: a^(p^21)==1 (mod p) where a is a quadratic algebraic integer. 
20180730, 03:44  #2  
May 2004
2^{2}·79 Posts 
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