Primality proof for n = 23658857317:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=26161.html>26161 is prime.</a>
<br>b^((n-1)/26161)-1 mod n = 16803971451, which is a unit, inverse 10695012478.
<p><a href=25121.html>25121 is prime.</a>
<br>b^((n-1)/25121)-1 mod n = 19676504053, which is a unit, inverse 19461089698.
<p>(25121 * 26161) divides n-1.
<p>(25121 * 26161)^2 > n.
<p>n is prime by Pocklington's theorem.