Primality proof for n = 1019532643:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=5859383.html>5859383 is prime.</a>
<br>b^((n-1)/5859383)-1 mod n = 686335907, which is a unit, inverse 19760312.
<p>(5859383) divides n-1.
<p>(5859383)^2 > n.
<p>n is prime by Pocklington's theorem.