Primality proof for n = 25465723:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=3499.html>3499 is prime.</a>
<br>b^((n-1)/3499)-1 mod n = 7997139, which is a unit, inverse 16349280.
<p><a href=1213.html>1213 is prime.</a>
<br>b^((n-1)/1213)-1 mod n = 22111368, which is a unit, inverse 3191890.
<p>(1213 * 3499) divides n-1.
<p>(1213 * 3499)^2 > n.
<p>n is prime by Pocklington's theorem.