Primality proof for n = 1386428608150177:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=110244005101.html>110244005101 is prime.</a>
<br>b^((n-1)/110244005101)-1 mod n = 173878787309271, which is a unit, inverse 100905488817268.
<p>(110244005101) divides n-1.
<p>(110244005101)^2 > n.
<p>n is prime by Pocklington's theorem.