<i>If primes derived from pi are not suspect, then that surely goes for primes derived from 1&#x2F;pi, e, sqrt(2)... as well?</i><p>If someone uses 1&#x2F;pi, the first question they face is going to be &quot;why not pi&quot;.  If you need a series of values, sqrt(p) is reasonable, but if you&#x27;re just looking for one value then using sqrt(17) is going to look suspicious.<p><i>What about bit order, byte order?</i><p>What about them?  Primes don&#x27;t have bit or byte orderings.  They&#x27;re just integers.<p>If you say &quot;I generated this prime by taking Pi, writing it as a series of bytes, permuting those bytes, and then interpreting those as an integer&quot;, people will be <i>very</i> suspicious.