Primality proof for n = 1003679:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=38603.html>38603 is prime.</a>
<br>b^((n-1)/38603)-1 mod n = 866049, which is a unit, inverse 795760.
<p>(38603) divides n-1.
<p>(38603)^2 > n.
<p>n is prime by Pocklington's theorem.