Primality proof for n = 4473682817603206637471:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=447368281760320663747.html>447368281760320663747 is prime.</a>
<br>b^((n-1)/447368281760320663747)-1 mod n = 1023, which is a unit, inverse 3769613478762428271261.
<p>(447368281760320663747) divides n-1.
<p>(447368281760320663747)^2 > n.
<p>n is prime by Pocklington's theorem.