Primality proof for n = 1495199339761412565498084319:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=426632512014427833817.html>426632512014427833817 is prime.</a>
<br>b^((n-1)/426632512014427833817)-1 mod n = 748955878985560809754141106, which is a unit, inverse 166870529054719175605931730.
<p>(426632512014427833817) divides n-1.
<p>(426632512014427833817)^2 > n.
<p>n is prime by Pocklington's theorem.