Primality proof for n = 2261713:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=47119.html>47119 is prime.</a>
<br>b^((n-1)/47119)-1 mod n = 1290808, which is a unit, inverse 2224341.
<p>(47119) divides n-1.
<p>(47119)^2 > n.
<p>n is prime by Pocklington's theorem.