Primality proof for n = 123513195593586463868249598285337146648031981:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=228728139988123081237499256083957678977837.html>228728139988123081237499256083957678977837 is prime.</a>
<br>b^((n-1)/228728139988123081237499256083957678977837)-1 mod n = 1103172934848616636652505964478463, which is a unit, inverse 84763288238007865858787554759470743163010794.
<p>(228728139988123081237499256083957678977837) divides n-1.
<p>(228728139988123081237499256083957678977837)^2 > n.
<p>n is prime by Pocklington's theorem.