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A241045 Primes having primitive roots 2, 3, 5, and 7. 1

%I #6 Sep 16 2020 13:27:37

%S 173,293,677,773,797,907,1277,1637,1747,2083,2357,2477,2693,2957,3533,

%T 3797,4133,4157,4373,4493,4603,4637,4877,4973,5333,5477,5717,5813,

%U 5923,6053,6173,6317,6547,6653,6763,7013,7517,8237,8573,8693,8837,9173,9533

%N Primes having primitive roots 2, 3, 5, and 7.

%H T. D. Noe, <a href="/A241045/b241045.txt">Table of n, a(n) for n = 1..1000</a>

%t fQ[p_, n_] := MultiplicativeOrder[p, n] == n - 1; Select[Prime[Range[1200]], fQ[2, #] && fQ[3, #] && fQ[5, #] && fQ[7, #] &]

%t Select[Prime[Range[1200]],SubsetQ[PrimitiveRootList[#],{2,3,5,7}]&] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Sep 16 2020 *)

%Y Cf. A001122, A019334, A019335, A019337, A213052.

%K nonn

%O 1,1

%A _T. D. Noe_, Apr 16 2014

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Last modified March 28 10:31 EDT 2024. Contains 371240 sequences. (Running on oeis4.)