Primality proof for n = 3678475954780960471:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=78751358483857.html>78751358483857 is prime.</a>
<br>b^((n-1)/78751358483857)-1 mod n = 3448234981816859156, which is a unit, inverse 235776575702676806.
<p>(78751358483857) divides n-1.
<p>(78751358483857)^2 > n.
<p>n is prime by Pocklington's theorem.