A019336 Primes with primitive root 6.

[Davide Rotondo]

Hi to all dear seqfans. I noticed searching in the OEIS that the primes with primitive root 2 are congruent to 3,5 mod 8; primes with primitive root 3 are congruent to 5,7 mod 12; primes with primitive root 5 are congruent to 2,3 mod 5... but I do not find anything about congruencies of primes with primitive root 6 so I decided to try by myself and noticed that these primes are congruent to 7,11,13,17 mod 24. 

what do you think?

See you soon

Davide

[Victor Miller]

Hi Davide,  primitive root of an odd prime must be a quadratic non residue. Your results hold by the law of quadratic reciprocity.

Victor

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[Davide Rotondo]

Thanks Victor.

What about half period primes? I noticed that they are congruent to {1,3,9,13,27,31,37,39}(mod40). Can it be simplified?

See you soon

Davide

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