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A246489 The duodecimal period length of 1/(n-th prime) (0 by convention for the primes 2 and 3). 3
0, 0, 4, 6, 1, 2, 16, 6, 11, 4, 30, 9, 40, 42, 23, 52, 29, 15, 66, 35, 36, 26, 41, 8, 16, 100, 102, 53, 54, 112, 126, 65, 136, 138, 148, 150, 3, 162, 83, 172, 89, 90, 95, 24, 196, 66, 14, 222, 113, 114, 8, 119, 120, 125, 256, 131, 268, 54, 138, 280 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

For p >= 5 (n >= 3): multiplicative order of 12 mod prime(n). - Joerg Arndt, Nov 15 2014

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A246004(prime(n)).

EXAMPLE

n=9, prime(9) = 23, 1/23 = 0.0631694842106316948421... has period length 11 in base 12, so a(9) = 11.

MAPLE

with(numtheory):

a:= n-> `if`(n<3, 0, order(12, ithprime(n))):

seq(a(n), n=1..100);  # Alois P. Heinz, Nov 16 2014

PROG

(PARI) /* nonzero terms only: */

forprime(p=5, 10^3, print1(znorder(Mod(12, p)), ", ")); \\ Joerg Arndt, Nov 15 2014

CROSSREFS

Cf. A002371 (decimal versions).

Sequence in context: A106144 A154478 A255695 * A309445 A051261 A247621

Adjacent sequences:  A246486 A246487 A246488 * A246490 A246491 A246492

KEYWORD

nonn,base

AUTHOR

Eric Chen, Nov 15 2014

STATUS

approved

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Last modified April 21 19:16 EDT 2021. Contains 343156 sequences. (Running on oeis4.)