A139686 Odd multiplicative orders of 2 modulo primes.

3, 11, 5, 23, 35, 9, 39, 11, 51, 7, 15, 83, 95, 99, 37, 29, 119, 131, 135, 155, 21, 179, 183, 191, 43, 73, 231, 239, 243, 251, 299, 25, 303, 45, 323, 359, 121, 371, 375, 411, 419, 431, 55, 443, 91, 153, 117, 483, 491, 495, 515, 519, 531, 543, 29, 575, 611, 615, 639

Offset

1,1

Comments

Subsequence of A014664, consisting of odd elements.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Formula

a(n) = multiplicative order of 2 modulo A014663(n).

Mathematica

p = Select[Range[1000], PrimeQ]; Select[MultiplicativeOrder[2, #] & /@ p, OddQ] (* Amiram Eldar, Jul 30 2020 *)

Prog

(PARI) forprime(p=3, 10^5, z=znorder(Mod(2, p)); if(z%2, print1(z, ", ")))

Crossrefs

Cf. A014664, A014663 (corresponding primes).

Cf. other bases: this sequence (base 2), A385226 (base 3), A385227 (base 4), A385193 (base 5), A385228 (base -2), A385229 (base -3), A385230 (base -4), A385231 (base -5).

Sequence in context: A084462 A156320 A134969 * A212782 A130537 A212402

Adjacent sequences: A139683 A139684 A139685 * A139687 A139688 A139689

Keyword

nonn

Author

Max Alekseyev, Apr 29 2008

Status

approved