Primality proof for n = 290923:
Take b = 2.
b^(n-1) mod n = 1.
48487 is prime. b^((n-1)/48487)-1 mod n = 63, which is a unit, inverse 106210.
(48487) divides n-1.
(48487)^2 > n.
n is prime by Pocklington's theorem.