Primality proof for n = 18702316172396287:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=115446396125903.html>115446396125903 is prime.</a>
<br>b^((n-1)/115446396125903)-1 mod n = 8975855507098531, which is a unit, inverse 6481854957119264.
<p>(115446396125903) divides n-1.
<p>(115446396125903)^2 > n.
<p>n is prime by Pocklington's theorem.