Primality proof for n = 72983678353:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=116961023.html>116961023 is prime.</a>
<br>b^((n-1)/116961023)-1 mod n = 43308433220, which is a unit, inverse 41467173268.
<p>(116961023) divides n-1.
<p>(116961023)^2 > n.
<p>n is prime by Pocklington's theorem.