Primality proof for n = 750357943:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=125059657.html>125059657 is prime.</a>
<br>b^((n-1)/125059657)-1 mod n = 63, which is a unit, inverse 595522177.
<p>(125059657) divides n-1.
<p>(125059657)^2 > n.
<p>n is prime by Pocklington's theorem.