Primality proof for n = 213625567:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=619.html>619 is prime.</a>
<br>b^((n-1)/619)-1 mod n = 189110135, which is a unit, inverse 19652744.
<p><a href=83.html>83 is prime.</a>
<br>b^((n-1)/83)-1 mod n = 15005505, which is a unit, inverse 47955895.
<p>(83 * 619) divides n-1.
<p>(83 * 619)^2 > n.
<p>n is prime by Pocklington's theorem.