while wiki-ing these numbers, it was stated that the third smallest carmichael is 1729. this number has the distinction of being the smallest number expressible as the sum of two cubes in two different ways, i.e. $1^{3}+12^{3} = 9^{3}+10^{3} = 1729$. i thought it was cool that 1729 is carmichael. that is all.

carmichael numbers