Primality proof for n = 37663:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=6277.html>6277 is prime.</a>
<br>b^((n-1)/6277)-1 mod n = 63, which is a unit, inverse 13750.
<p>(6277) divides n-1.
<p>(6277)^2 > n.
<p>n is prime by Pocklington's theorem.