Primality proof for n = 187816627:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=10434257.html>10434257 is prime.</a>
<br>b^((n-1)/10434257)-1 mod n = 262143, which is a unit, inverse 34884028.
<p>(10434257) divides n-1.
<p>(10434257)^2 > n.
<p>n is prime by Pocklington's theorem.