Primality proof for n = 93179:

Take b = 2.

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

46589 is prime.
b^((n-1)/46589)-1 mod n = 3, which is a unit, inverse 31060.

(46589) divides n-1.

(46589)^2 > n.

n is prime by Pocklington's theorem.