Primality proof for n = 7144903:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=132313.html>132313 is prime.</a>
<br>b^((n-1)/132313)-1 mod n = 2875257, which is a unit, inverse 5808523.
<p>(132313) divides n-1.
<p>(132313)^2 > n.
<p>n is prime by Pocklington's theorem.