Primality proof for n = 2270119023421:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=33191.html>33191 is prime.</a>
<br>b^((n-1)/33191)-1 mod n = 2205158532236, which is a unit, inverse 2256184190859.
<p><a href=1669.html>1669 is prime.</a>
<br>b^((n-1)/1669)-1 mod n = 1203252037393, which is a unit, inverse 1680489189474.
<p>(1669 * 33191) divides n-1.
<p>(1669 * 33191)^2 > n.
<p>n is prime by Pocklington's theorem.