Primality proof for n = 142211:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=14221.html>14221 is prime.</a>
<br>b^((n-1)/14221)-1 mod n = 1023, which is a unit, inverse 10148.
<p>(14221) divides n-1.
<p>(14221)^2 > n.
<p>n is prime by Pocklington's theorem.