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A223036 Primes p whose smallest positive quadratic nonresidue is a primitive root of p. 2

%I

%S 3,5,7,11,13,17,19,23,29,31,37,47,53,59,61,67,71,73,79,83,89,97,101,

%T 107,113,127,131,137,139,149,163,167,173,179,181,193,197,199,211,223,

%U 227,233,239,241,257,263,269,281,293,317,347,349,353,359,373,379,383

%N Primes p whose smallest positive quadratic nonresidue is a primitive root of p.

%C See the complementary sequence A222717 for comments.

%H <a href="/index/Pri#primes_root">Index entries for primes by primitive root</a>

%e The smallest positive quadratic nonresidue of 3 is 2, and 2 is a primitive root of 3, so 3 is a member.

%t nn = 100; NR = (Table[p = Prime[n]; First[ Select[ Range[p], JacobiSymbol[#, p] != 1 &]], {n, nn}]); Select[ Prime[ Range[nn]], MultiplicativeOrder[ NR[[PrimePi[#]]], #] == # - 1 &]

%Y Cf. A001918, A053760, A222717.

%K nonn

%O 1,1

%A _Jonathan Sondow_, Mar 13 2013

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Last modified February 16 12:48 EST 2019. Contains 320163 sequences. (Running on oeis4.)