# 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

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

#### ?uestionable

Carmichael numbers in different bases

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

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

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