Is there a particular theorem or name defining the property/behavior of primes such that all primes (greater than 3) are congruent to 1 or 5 (mod 6)? I could have sworn I saw one years ago, but I haven't been able to find it again. I don't have a formal background in number theory, so that could be part of the reason, since I don't know the proper terms to search. I have been doing some work with Cuban primes. and I would like to know the name if there is one before speaking with a professor from a different country. The more we are on the same page the better.
https://en.m.wikipedia.org/wiki/Multiplicative_group_of_integers_modulo_n list just a few possibilities, depending on use. These include:
- Multiplicative group of integers mod n
- Group of primitive residue classes modulo n
- Group of units of the ring of integers modulo n.
Specifically, n is 6 in this case.