Primality proof for n = 2703522806075700613189177:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=27818066278401359.html>27818066278401359 is prime.</a>
<br>b^((n-1)/27818066278401359)-1 mod n = 2196717294173619075736087, which is a unit, inverse 848279880965637412974169.
<p>(27818066278401359) divides n-1.
<p>(27818066278401359)^2 > n.
<p>n is prime by Pocklington's theorem.