View Single Post
Old 2017-09-21, 12:39   #12
Dr Sardonicus
 
Dr Sardonicus's Avatar
 
Feb 2017
Nowhere

5,783 Posts
Default

Carmichael numbers that remain "absolute pseudoprimes" in any given number field are known to exist. See

There are In´Čünitely Many Perrin Pseudoprimes

Also, Carmichael numbers which remain "absolute pseudoprimes" in all number fields up to a given degree are thought to exist, based on heuristics. However, this is only known to be true for degree 2. For examples in this case, see

HIGHER-ORDER CARMICHAEL NUMBERS
Dr Sardonicus is offline   Reply With Quote