Primality proof for n = 294639853:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=461.html>461 is prime.</a>
<br>b^((n-1)/461)-1 mod n = 204473882, which is a unit, inverse 57716566.
<p><a href=241.html>241 is prime.</a>
<br>b^((n-1)/241)-1 mod n = 198273527, which is a unit, inverse 100964630.
<p>(241 * 461) divides n-1.
<p>(241 * 461)^2 > n.
<p>n is prime by Pocklington's theorem.