Primality proof for n = 138897064261279495097010689063:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=715138273065985889.html>715138273065985889 is prime.</a>
<br>b^((n-1)/715138273065985889)-1 mod n = 37801534783513065116868835228, which is a unit, inverse 102545188581036136749863526784.
<p>(715138273065985889) divides n-1.
<p>(715138273065985889)^2 > n.
<p>n is prime by Pocklington's theorem.