Primality proof for n = 774583:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=129097.html>129097 is prime.</a>
<br>b^((n-1)/129097)-1 mod n = 63, which is a unit, inverse 393439.
<p>(129097) divides n-1.
<p>(129097)^2 > n.
<p>n is prime by Pocklington's theorem.