Primality proof for n = 39295853:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=118361.html>118361 is prime.</a>
<br>b^((n-1)/118361)-1 mod n = 19339856, which is a unit, inverse 27491427.
<p>(118361) divides n-1.
<p>(118361)^2 > n.
<p>n is prime by Pocklington's theorem.