Primality proof for n = 47497:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1979.html>1979 is prime.</a>
<br>b^((n-1)/1979)-1 mod n = 10774, which is a unit, inverse 7587.
<p>(1979) divides n-1.
<p>(1979)^2 > n.
<p>n is prime by Pocklington's theorem.