Primality proof for n = 341948486974166000522343609283189:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=29047611873442575647497758179.html>29047611873442575647497758179 is prime.</a>
<br>b^((n-1)/29047611873442575647497758179)-1 mod n = 291782875431971620014836968593542, which is a unit, inverse 230912421032721991545077801069578.
<p>(29047611873442575647497758179) divides n-1.
<p>(29047611873442575647497758179)^2 > n.
<p>n is prime by Pocklington's theorem.