Primality proof for n = 923685781:
Take b = 2.
b^(n-1) mod n = 1.
15661 is prime.
b^((n-1)/15661)-1 mod n = 93724087, which is a unit, inverse 64698943.
983 is prime.
b^((n-1)/983)-1 mod n = 809110538, which is a unit, inverse 338788071.
(983 * 15661) divides n-1.
(983 * 15661)^2 > n.
n is prime by Pocklington's theorem.