That is because 6 is a priomorial. For any primorial p', k*p' +/- 1 will result in a number relatively prime to p', some of which are absolute primes. The key

That is because 6 is a priomorial. For any primorial p', k*p' +/- 1 will result in a number relatively prime to p', some of which are absolute primes. The key to understanding primes is in relative primes and reduced residue sets. All patterns in (higher) primes (absolute) are generated by the members of RRS of smaller primes. This includes the clusters, such as twins, triple, quadruple, ..., primes. RRSs also hint [imo] at intimate connection between complex numbers and primes. https://en.wikipedia.org/wiki/Primorial https://en.wikipedia.org/wiki/Primorial https://en.wikipedia.org/wiki/Coprime_integers https://en.wikipedia.org/wiki/Coprime_integers https://en.wikipedia.org/wiki/Reduced_residue_system https://en.wikipedia.org/wiki/Reduced_residue_system https://en.wikipedia.org/wiki/Root_of_unity https://en.wikipedia.org/wiki/Root_of_unity