Primality proof for n = 103393:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=359.html>359 is prime.</a>
<br>b^((n-1)/359)-1 mod n = 55998, which is a unit, inverse 32269.
<p>(359) divides n-1.
<p>(359)^2 > n.
<p>n is prime by Pocklington's theorem.