Primality proof for n = 3402277943:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1609403.html>1609403 is prime.</a>
<br>b^((n-1)/1609403)-1 mod n = 1521345083, which is a unit, inverse 460393886.
<p>(1609403) divides n-1.
<p>(1609403)^2 > n.
<p>n is prime by Pocklington's theorem.