Primality proof for n = 22645347980446549950250344634517843:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=297581916939273464475253.html>297581916939273464475253 is prime.</a>
<br>b^((n-1)/297581916939273464475253)-1 mod n = 12072101161691705496640020199084290, which is a unit, inverse 12728189880118176745830426795818185.
<p>(297581916939273464475253) divides n-1.
<p>(297581916939273464475253)^2 > n.
<p>n is prime by Pocklington's theorem.