Primality proof for n = 107338874501590423:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=2053232229649.html>2053232229649 is prime.</a>
<br>b^((n-1)/2053232229649)-1 mod n = 49165362979375159, which is a unit, inverse 29864252705421883.
<p>(2053232229649) divides n-1.
<p>(2053232229649)^2 > n.
<p>n is prime by Pocklington's theorem.