Primality proof for n = 5315399:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=787.html>787 is prime.</a>
<br>b^((n-1)/787)-1 mod n = 2217019, which is a unit, inverse 5084108.
<p><a href=307.html>307 is prime.</a>
<br>b^((n-1)/307)-1 mod n = 788803, which is a unit, inverse 1415132.
<p>(307 * 787) divides n-1.
<p>(307 * 787)^2 > n.
<p>n is prime by Pocklington's theorem.