Primality proof for n = 2903:
Take b = 2.
b^(n-1) mod n = 1.
1451 is prime. b^((n-1)/1451)-1 mod n = 3, which is a unit, inverse 968.
(1451) divides n-1.
(1451)^2 > n.
n is prime by Pocklington's theorem.