Primality proof for n = 49081234303:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=3878713.html>3878713 is prime.</a>
<br>b^((n-1)/3878713)-1 mod n = 34242322587, which is a unit, inverse 18864062710.
<p>(3878713) divides n-1.
<p>(3878713)^2 > n.
<p>n is prime by Pocklington's theorem.