Primality proof for n = 105943:

Take b = 2.

b^(n-1) mod n = 1.

17657 is prime.
b^((n-1)/17657)-1 mod n = 63, which is a unit, inverse 18498.

(17657) divides n-1.

(17657)^2 > n.

n is prime by Pocklington's theorem.