Primality proof for n = 37344768852931:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=9863677.html>9863677 is prime.</a>
<br>b^((n-1)/9863677)-1 mod n = 872691691967, which is a unit, inverse 16534501050212.
<p>(9863677) divides n-1.
<p>(9863677)^2 > n.
<p>n is prime by Pocklington's theorem.