<i>Sigh</i><p>The issue here is that we need a trusted source of &quot;nothing up my sleeve&quot; numbers: <a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Nothing_up_my_sleeve_number" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Nothing_up_my_sleeve_number</a><p>This is why the RFC 3526 groups use primes derived from Pi: <a href="https:&#x2F;&#x2F;tools.ietf.org&#x2F;html&#x2F;rfc3526" rel="nofollow">https:&#x2F;&#x2F;tools.ietf.org&#x2F;html&#x2F;rfc3526</a><p>I&#x27;m sure that it would be difficult to tamper with the results of lotteries held all over the world.  But it&#x27;s even harder to tamper with the value of Pi.