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Dr Sardonicus · 2017-09-21, 12:39

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

There are Inﬁnitely 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

2017-09-21, 12:39	#12
Dr Sardonicus Feb 2017 Nowhere 3²·709 Posts	Carmichael numbers that remain "absolute pseudoprimes" in any given number field are known to exist. See There are Inﬁnitely 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