Primality proof for n = 289450259140102639080071069:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=479208894057626693.html>479208894057626693 is prime.</a>
<br>b^((n-1)/479208894057626693)-1 mod n = 137428353945403922792031019, which is a unit, inverse 217927885242789779280994159.
<p>(479208894057626693) divides n-1.
<p>(479208894057626693)^2 > n.
<p>n is prime by Pocklington's theorem.