Primality proof for n = 18141104598658771:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=604703486621959.html>604703486621959 is prime.</a>
<br>b^((n-1)/604703486621959)-1 mod n = 1073741823, which is a unit, inverse 236122631116049.
<p>(604703486621959) divides n-1.
<p>(604703486621959)^2 > n.
<p>n is prime by Pocklington's theorem.