If \(\pi(x)\lt log(x)\) that the number of primes up to \(x\) is bounded by \(log(x)\), and not \(x/log(x)\) there are way less primes available for anything and everything.
Primes are all under the \(\cfrac{1}{x}\) curve, except for non primes when \(\cfrac{x}{p_n}\) intercept \(\cfrac{1}{x}\) at integer values for \(x\), so
\(\pi(x)\lt log(x)\)
This is serious, Prime Scarce.
