Primality proof for n = 59180993314580506221962671096753:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1779835204363103.html>1779835204363103 is prime.</a>
<br>b^((n-1)/1779835204363103)-1 mod n = 40080469633070974444189506270939, which is a unit, inverse 1757613885766652203934927546444.
<p><a href=352173651449.html>352173651449 is prime.</a>
<br>b^((n-1)/352173651449)-1 mod n = 40708056726482894591915319627626, which is a unit, inverse 55146929872946558300027028079362.
<p>(352173651449 * 1779835204363103) divides n-1.
<p>(352173651449 * 1779835204363103)^2 > n.
<p>n is prime by Pocklington's theorem.