Primality proof for n = 17942476279071857634847638457723:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=2089326636302777.html>2089326636302777 is prime.</a>
<br>b^((n-1)/2089326636302777)-1 mod n = 8888586795800304819756846599628, which is a unit, inverse 12531956664956805667278672456760.
<p><a href=1300347341.html>1300347341 is prime.</a>
<br>b^((n-1)/1300347341)-1 mod n = 3012345522519017498484093476900, which is a unit, inverse 9263424345051224582796052959711.
<p>(1300347341 * 2089326636302777) divides n-1.
<p>(1300347341 * 2089326636302777)^2 > n.
<p>n is prime by Pocklington's theorem.