Primality proof for n = 4434155615661930479:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1257559732178653.html>1257559732178653 is prime.</a>
<br>b^((n-1)/1257559732178653)-1 mod n = 415787812636281766, which is a unit, inverse 1010501025739283171.
<p>(1257559732178653) divides n-1.
<p>(1257559732178653)^2 > n.
<p>n is prime by Pocklington's theorem.