Carmichal number 561

561 is the smallest Carmichael numberMathworldPlanetmath in the ring of integersMathworldPlanetmath. However it is only a pseudoprime in the ring of Gaussian integersMathworldPlanetmath. We can use pari to find the bases to which 561 is a pseudoprime. I found it is pseudoprime to bases 12 + i, 22 +i, 33 + i and 44 + i. Needless to say it is a pseudoprime to other bases too. More on this later.

Title Carmichal number 561
Canonical name CarmichalNumber561
Date of creation 2015-07-12 6:12:21
Last modified on 2015-07-12 6:12:21
Owner akdevaraj (13230)
Last modified by akdevaraj (13230)
Numerical id 1
Author akdevaraj (13230)
Entry type Definition