Primality proof for n = 127139:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=5779.html>5779 is prime.</a>
<br>b^((n-1)/5779)-1 mod n = 125855, which is a unit, inverse 33171.
<p>(5779) divides n-1.
<p>(5779)^2 > n.
<p>n is prime by Pocklington's theorem.