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%I #6 Oct 03 2018 16:58:27
%S 53,173,197,293,317,557,653,677,773,797,907,1277,1373,1483,1493,1637,
%T 1733,1747,1987,1997,2083,2213,2237,2333,2357,2467,2477,2683,2693,
%U 2837,2957,3307,3413,3533,3547,3557,3643,3677,3797,3917,4003,4013,4133,4157
%N Primes having primitive roots 2, 3, and 5.
%H T. D. Noe, <a href="/A241044/b241044.txt">Table of n, a(n) for n = 1..1000</a>
%t fQ[p_, n_] := MultiplicativeOrder[p, n] == n - 1; Select[Prime[Range[600]], fQ[2, #] && fQ[3, #] && fQ[5, #] &]
%t Select[Prime[Range[600]],SequenceCount[PrimitiveRootList[#],{2,3,5}]>0&] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Oct 03 2018 *)
%Y Cf. A001122, A019334, A019335, A213052.
%K nonn
%O 1,1
%A _T. D. Noe_, Apr 16 2014