Math works when all of the lemmas are satisfied. In this case, for he sake of efficiency or otherwise, a lot of people made a bad decision and only fulfilled a partial set of the requirements.<p>When software uses a known set of hard coded primes, it is logarithmically simplified in what it takes to defeat it.<p>Maybe there are good primes, bad primes, but to &quot;standardize&quot; a prime is to give an anchor to an adversary.