Primality proof for n = 53014379452169:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=60901.html>60901 is prime.</a>
<br>b^((n-1)/60901)-1 mod n = 37759390068804, which is a unit, inverse 42820042899363.
<p><a href=18947.html>18947 is prime.</a>
<br>b^((n-1)/18947)-1 mod n = 24149381496801, which is a unit, inverse 30628402768247.
<p>(18947 * 60901) divides n-1.
<p>(18947 * 60901)^2 > n.
<p>n is prime by Pocklington's theorem.