Primality proof for n = 176580149:
Take b = 2.
b^(n-1) mod n = 1.
2323423 is prime. b^((n-1)/2323423)-1 mod n = 120290953, which is a unit, inverse 23572651.
(2323423) divides n-1.
(2323423)^2 > n.
n is prime by Pocklington's theorem.