Primality proof for n = 392279121964710096549298451519713063:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=163131120638915058577002756917.html>163131120638915058577002756917 is prime.</a>
<br>b^((n-1)/163131120638915058577002756917)-1 mod n = 210290187413216492249947612049323714, which is a unit, inverse 69411404797376114228655188798012230.
<p>(163131120638915058577002756917) divides n-1.
<p>(163131120638915058577002756917)^2 > n.
<p>n is prime by Pocklington's theorem.