Primality proof for n = 47119:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=7853.html>7853 is prime.</a>
<br>b^((n-1)/7853)-1 mod n = 63, which is a unit, inverse 28421.
<p>(7853) divides n-1.
<p>(7853)^2 > n.
<p>n is prime by Pocklington's theorem.