Primality proof for n = 59724981817583:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=29862490908791.html>29862490908791 is prime.</a>
<br>b^((n-1)/29862490908791)-1 mod n = 3, which is a unit, inverse 19908327272528.
<p>(29862490908791) divides n-1.
<p>(29862490908791)^2 > n.
<p>n is prime by Pocklington's theorem.