Primality proof for n = 359300521211:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=113344013.html>113344013 is prime.</a>
<br>b^((n-1)/113344013)-1 mod n = 51408227156, which is a unit, inverse 314748435124.
<p>(113344013) divides n-1.
<p>(113344013)^2 > n.
<p>n is prime by Pocklington's theorem.