Primality proof for n = 1979:
Take b = 2.
b^(n-1) mod n = 1.
43 is prime.
b^((n-1)/43)-1 mod n = 598, which is a unit, inverse 1519.
23 is prime.
b^((n-1)/23)-1 mod n = 565, which is a unit, inverse 1317.
(23 * 43) divides n-1.
(23 * 43)^2 > n.
n is prime by Pocklington's theorem.