Primality proof for n = 3376384040438327312767543585515740988479041826522993:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=592299861982871449195634528262215319398393153.html>592299861982871449195634528262215319398393153 is prime.</a>
<br>b^((n-1)/592299861982871449195634528262215319398393153)-1 mod n = 325033923240904834364088111477035952828626849903838, which is a unit, inverse 1655108222118585084429848496419637768180570536721849.
<p>(592299861982871449195634528262215319398393153) divides n-1.
<p>(592299861982871449195634528262215319398393153)^2 > n.
<p>n is prime by Pocklington's theorem.