Primality proof for n = 305873:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=2731.html>2731 is prime.</a>
<br>b^((n-1)/2731)-1 mod n = 228862, which is a unit, inverse 95101.
<p>(2731) divides n-1.
<p>(2731)^2 > n.
<p>n is prime by Pocklington's theorem.