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A213051
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Primes of the form 4*k+3 with primitive root +2.
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3
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3, 11, 19, 59, 67, 83, 107, 131, 139, 163, 179, 211, 227, 347, 379, 419, 443, 467, 491, 523, 547, 563, 587, 619, 659, 787, 827, 859, 883, 907, 947, 1019, 1091, 1123, 1171, 1187, 1259, 1283, 1291, 1307, 1427, 1451, 1483, 1499, 1523, 1531, 1571, 1619, 1667, 1747
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OFFSET
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1,1
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COMMENTS
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Primes with primitive root +2 where -2 is not a primitive root.
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LINKS
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MATHEMATICA
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Select[Prime[Range[300]], Mod[#, 4] == 3 && PrimitiveRoot[#, 2] == 2&] (* Jean-François Alcover, Jul 22 2018 *)
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PROG
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(PARI)
{ forprime (p=3, 10^4,
rp = znorder(Mod(+2, p));
rm = znorder(Mod(-2, p));
if ( (rp==p-1) && (rm!=p-1), print1(p, ", ") );
); }
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CROSSREFS
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Cf. A213050 (primes 4*k+1 with primitive root +2), A001122 (primitive root +2).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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