Primality proof for n = 14944121:

Take b = 2.

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

7949 is prime.
b^((n-1)/7949)-1 mod n = 11365993, which is a unit, inverse 12004624.

(7949) divides n-1.

(7949)^2 > n.

n is prime by Pocklington's theorem.
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