Primality proof for n = 388425074903852603481408727235725774844022299:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=468848762208042289.html>468848762208042289 is prime.</a>
<br>b^((n-1)/468848762208042289)-1 mod n = 70743929769114021430385101625331568802521558, which is a unit, inverse 376277893427562830993133919023416860269232141.
<p><a href=16018527589.html>16018527589 is prime.</a>
<br>b^((n-1)/16018527589)-1 mod n = 31696373501837656170653683103350101835274592, which is a unit, inverse 386361919353251368039360203084396896415184285.
<p>(16018527589 * 468848762208042289) divides n-1.
<p>(16018527589 * 468848762208042289)^2 > n.
<p>n is prime by Pocklington's theorem.