Primality proof for n = 85253989:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1879.html>1879 is prime.</a>
<br>b^((n-1)/1879)-1 mod n = 21907381, which is a unit, inverse 55718753.
<p><a href=199.html>199 is prime.</a>
<br>b^((n-1)/199)-1 mod n = 34308376, which is a unit, inverse 41746173.
<p>(199 * 1879) divides n-1.
<p>(199 * 1879)^2 > n.
<p>n is prime by Pocklington's theorem.