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Numbers with primitive root -3.
19

%I #7 Jan 04 2025 00:37:36

%S 2,5,10,11,17,22,23,25,29,34,46,47,50,53,58,59,71,83,89,94,101,106,

%T 107,113,118,125,131,137,142,149,166,167,173,178,179,191,197,202,214,

%U 226,227,233,239,250,251,257,262,263,269,274,281,289,293,298,311,317,334

%N Numbers with primitive root -3.

%H Vincenzo Librandi, <a href="/A167799/b167799.txt">Table of n, a(n) for n = 1..1000</a>

%t pr=-3; Select[Range[2,2000], MultiplicativeOrder[pr,# ] == EulerPhi[ # ] &]

%o (PARI) is(n)=if(n%3==0, return(0)); my(p=eulerphi(n)); znorder(Mod(-3, n), p)==p \\ _Charles R Greathouse IV_, Jan 04 2025

%Y Cf. A105875 (primes with primitive root -3)

%K nonn

%O 1,1

%A _T. D. Noe_, Nov 12 2009