Primality proof for n = 457345879:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1283.html>1283 is prime.</a>
<br>b^((n-1)/1283)-1 mod n = 359965491, which is a unit, inverse 293858496.
<p><a href=491.html>491 is prime.</a>
<br>b^((n-1)/491)-1 mod n = 334944558, which is a unit, inverse 403242976.
<p>(491 * 1283) divides n-1.
<p>(491 * 1283)^2 > n.
<p>n is prime by Pocklington's theorem.