Primality proof for n = 61292713:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1301.html>1301 is prime.</a>
<br>b^((n-1)/1301)-1 mod n = 34554112, which is a unit, inverse 36003754.
<p><a href=151.html>151 is prime.</a>
<br>b^((n-1)/151)-1 mod n = 42273170, which is a unit, inverse 30294922.
<p>(151 * 1301) divides n-1.
<p>(151 * 1301)^2 > n.
<p>n is prime by Pocklington's theorem.