Primality proof for n = 50123:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1319.html>1319 is prime.</a>
<br>b^((n-1)/1319)-1 mod n = 16702, which is a unit, inverse 44226.
<p>(1319) divides n-1.
<p>(1319)^2 > n.
<p>n is prime by Pocklington's theorem.