Primality proof for n = 1751993:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=463.html>463 is prime.</a>
<br>b^((n-1)/463)-1 mod n = 1362677, which is a unit, inverse 37014.
<p><a href=43.html>43 is prime.</a>
<br>b^((n-1)/43)-1 mod n = 914282, which is a unit, inverse 1360574.
<p>(43 * 463) divides n-1.
<p>(43 * 463)^2 > n.
<p>n is prime by Pocklington's theorem.