Primality proof for n = 451891442863291858329691135763436236651:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=52934372406331568616067.html>52934372406331568616067 is prime.</a>
<br>b^((n-1)/52934372406331568616067)-1 mod n = 217697494059542272147182693792865862920, which is a unit, inverse 37542724231087697987420308970848658985.
<p>(52934372406331568616067) divides n-1.
<p>(52934372406331568616067)^2 > n.
<p>n is prime by Pocklington's theorem.