Primality proof for n = 1671675350725190618677:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=4221402400821188431.html>4221402400821188431 is prime.</a>
<br>b^((n-1)/4221402400821188431)-1 mod n = 1226932990301795677609, which is a unit, inverse 287395635600359905089.
<p>(4221402400821188431) divides n-1.
<p>(4221402400821188431)^2 > n.
<p>n is prime by Pocklington's theorem.