Primality proof for n = 37573380636081815018124278995574282493401057:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=15867926547803050208571480396443.html>15867926547803050208571480396443 is prime.</a>
<br>b^((n-1)/15867926547803050208571480396443)-1 mod n = 28360458484290330459184554906762597357863012, which is a unit, inverse 10175893365203686752831115121411545550709865.
<p>(15867926547803050208571480396443) divides n-1.
<p>(15867926547803050208571480396443)^2 > n.
<p>n is prime by Pocklington's theorem.