Primality proof for n = 124822877:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=4273.html>4273 is prime.</a>
<br>b^((n-1)/4273)-1 mod n = 122492350, which is a unit, inverse 35056210.
<p><a href=109.html>109 is prime.</a>
<br>b^((n-1)/109)-1 mod n = 88257422, which is a unit, inverse 7603136.
<p>(109 * 4273) divides n-1.
<p>(109 * 4273)^2 > n.
<p>n is prime by Pocklington's theorem.