Primality proof for n = 67188132490279:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=11198022081713.html>11198022081713 is prime.</a>
<br>b^((n-1)/11198022081713)-1 mod n = 63, which is a unit, inverse 2132956586993.
<p>(11198022081713) divides n-1.
<p>(11198022081713)^2 > n.
<p>n is prime by Pocklington's theorem.