Carmichael numbers in other bases

[?uestionable]

Does anyone know if a Carmichael number returns 1 if you use Fermat's Little Theorem on it base 3?

[NateTG]

Yeah, it's the same. Why would it be different?

[?uestionable]

Iwas at this site:

http://www.newnation.ca/sniffy/fermat.htm

and it had the example 561= 3x11x17
and stated that except for the bases 3, 11 and 17 A^560 = 1 (mod 561), its this statement that has me confused. I was under the impression that Carmichael numbers returned 1 in all bases.

[NateTG]

Oh, base of the exponent, not the base of notation.
Should still be 1 though.