A019341 -id:A019341 - cp's OEIS frontend

A061326 Primes with 13 as smallest positive primitive root.

457, 479, 1319, 1321, 1399, 2351, 2953, 3671, 3881, 3911, 4129, 4919, 5519, 5569, 6359, 6599, 6961, 7559, 7561, 8521, 8689, 8951, 9241, 9601, 9769, 10369, 11113, 11251, 12007, 12049, 12239, 12433, 12721, 12799, 12889, 13151, 14159, 14519

Offset: 1

Klaus Brockhaus, Apr 24 2001

nonn

T. D. Noe, Table of n, a(n) for n=1..1000

Cf. A001918, A001126, A019341.

Prime[ Select[ Range[2000], PrimitiveRoot[ Prime[ # ] ] == 13 & ] ]
(* or *)
Select[ Prime@Range@2000, PrimitiveRoot@# == 13 &] (* Robert G. Wilson v, May 11 2001 *)

A241047 Primes having primitive roots 2, 3, 5, 7, 11, and 13.

Original entry on oeis.org

293, 2477, 4373, 6173, 7013, 9173, 9677, 10853, 13037, 13397, 13613, 13877, 14957, 15413, 17093, 17597, 18413, 18917, 19157, 22277, 22613, 24317, 26813, 27653, 27893, 29333, 30197, 31517, 33893, 34613, 34877, 35573, 37253, 40493, 41117, 41333, 42437

Offset: 1

T. D. Noe, Apr 16 2014

nonn

T. D. Noe, Table of n, a(n) for n = 1..1000

Cf. A001122, A019334, A019335, A019337, A019339, A019341, A213052.

fQ[p_, n_] := MultiplicativeOrder[p, n] == n - 1; Select[Prime[Range[4500]], fQ[2, #] && fQ[3, #] && fQ[5, #] && fQ[7, #] && fQ[11, #] && fQ[13, #] &]

A241048 Primes having primitive roots 2, 3, 5, 7, 11, 13, and 17.

Original entry on oeis.org

2477, 9173, 10853, 13877, 14957, 15413, 22277, 22613, 24317, 27653, 30197, 34877, 37253, 41117, 41333, 42437, 42677, 43973, 48677, 51413, 55733, 61613, 62597, 63773, 66293, 72533, 73757, 74093, 76733, 79397, 79757, 82997, 86357, 90173, 92237, 92333, 95597

Offset: 1

T. D. Noe, Apr 16 2014

nonn

T. D. Noe, Table of n, a(n) for n = 1..1000

Cf. A001122, A019334, A019335, A019337, A019339, A019341, A019344, A213052.

fQ[p_, n_] := MultiplicativeOrder[p, n] == n - 1; Select[Prime[Range[10000]], fQ[2, #] && fQ[3, #] && fQ[5, #] && fQ[7, #] && fQ[11, #] && fQ[13, #] && fQ[17, #] &]

cp's OEIS Frontend

A061326 Primes with 13 as smallest positive primitive root.

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A241047 Primes having primitive roots 2, 3, 5, 7, 11, and 13.

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Author

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Crossrefs

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Mathematica

A241048 Primes having primitive roots 2, 3, 5, 7, 11, 13, and 17.

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Author

Keywords

Links

Crossrefs

Programs

Mathematica