Primality proof for n = 47907599:
Take b = 2.
b^(n-1) mod n = 1.
34367 is prime. b^((n-1)/34367)-1 mod n = 40099037, which is a unit, inverse 46304264.
(34367) divides n-1.
(34367)^2 > n.
n is prime by Pocklington's theorem.