Primality proof for n = 76152123566553479:

Take b = 2.

b^(n-1) mod n = 1.

4156739 is prime.
b^((n-1)/4156739)-1 mod n = 72328433532179141, which is a unit, inverse 59481731497343060.

1354841 is prime.
b^((n-1)/1354841)-1 mod n = 25366394481550358, which is a unit, inverse 14333593687874871.

(1354841 * 4156739) divides n-1.

(1354841 * 4156739)^2 > n.

n is prime by Pocklington's theorem.
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