Primality proof for n = 1376827:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=907.html>907 is prime.</a>
<br>b^((n-1)/907)-1 mod n = 21635, which is a unit, inverse 106086.
<p><a href=23.html>23 is prime.</a>
<br>b^((n-1)/23)-1 mod n = 178928, which is a unit, inverse 944414.
<p>(23 * 907) divides n-1.
<p>(23 * 907)^2 > n.
<p>n is prime by Pocklington's theorem.