Primality proof for n = 214824846426985860661:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=19505309445451.html>19505309445451 is prime.</a>
<br>b^((n-1)/19505309445451)-1 mod n = 210993610960317807170, which is a unit, inverse 37139972704204312855.
<p>(19505309445451) divides n-1.
<p>(19505309445451)^2 > n.
<p>n is prime by Pocklington's theorem.