A385229 - OEIS

A385229

Odd multiplicative orders of -3 modulo primes.

1, 3, 9, 15, 9, 21, 5, 11, 39, 17, 63, 69, 25, 39, 81, 99, 105, 111, 15, 141, 17, 165, 87, 61, 93, 189, 99, 73, 231, 243, 83, 29, 7, 285, 303, 51, 103, 315, 107, 11, 345, 121, 369, 375, 131, 405, 411, 71, 429, 219, 63, 453, 153, 117, 161, 165, 83, 17, 519, 105, 531, 267, 543, 561, 117

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OFFSET

1,2

COMMENTS

Odd elements in A380482.

a(n) is the multiplicative order of -3 modulo A385223(n).

LINKS

Jianing Song, Table of n, a(n) for n = 1..10000

MATHEMATICA

Select[Map[MultiplicativeOrder[-3, #] &, Prime[Range[200]]], OddQ] (* Paolo Xausa, Jun 30 2025 *)

PROG

(PARI) forprime(p=2, 1e4, if(p!=3, z=znorder(Mod(-3, p)); if(z%2, print1(z, ", "))))

CROSSREFS

Cf. A380482, A385223 (corresponding primes).

Cf. other bases: A139686 (base 2), A385226 (base 3), A385227 (base 4), A385193 (base 5), A385228 (base -2), this sequence (base -3), A385230 (base -4), A385231 (base -5).

Sequence in context: A355151 A370837 A366116 * A310325 A310326 A310327

Adjacent sequences: A385226 A385227 A385228 * A385230 A385231 A385232

KEYWORD

nonn,easy

AUTHOR

Jianing Song, Jun 22 2025

STATUS

approved