Primality proof for n = 1937551337942089:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=213095137.html>213095137 is prime.</a>
<br>b^((n-1)/213095137)-1 mod n = 1240887883484574, which is a unit, inverse 1427436816863515.
<p>(213095137) divides n-1.
<p>(213095137)^2 > n.
<p>n is prime by Pocklington's theorem.