Primality proof for n = 147147008300569209775838205151:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=12110864880705284755213021.html>12110864880705284755213021 is prime.</a>
<br>b^((n-1)/12110864880705284755213021)-1 mod n = 80127643352017148269028336314, which is a unit, inverse 20225358432610889817365670724.
<p>(12110864880705284755213021) divides n-1.
<p>(12110864880705284755213021)^2 > n.
<p>n is prime by Pocklington's theorem.