Primality proof for n = 5283269:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=311.html>311 is prime.</a>
<br>b^((n-1)/311)-1 mod n = 5215895, which is a unit, inverse 4618371.
<p><a href=137.html>137 is prime.</a>
<br>b^((n-1)/137)-1 mod n = 4483018, which is a unit, inverse 4538159.
<p>(137 * 311) divides n-1.
<p>(137 * 311)^2 > n.
<p>n is prime by Pocklington's theorem.