Primality proof for n = 55942463741690639:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=37344768852931.html>37344768852931 is prime.</a>
<br>b^((n-1)/37344768852931)-1 mod n = 16681160088318799, which is a unit, inverse 19671609748915252.
<p>(37344768852931) divides n-1.
<p>(37344768852931)^2 > n.
<p>n is prime by Pocklington's theorem.