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A094593 a(n) = (p-1)/x, where p = prime(n) and x = ord(3,p), the smallest positive integer such that 3^x == 1 mod p. 9
1, 1, 2, 4, 1, 1, 2, 1, 1, 2, 5, 1, 2, 1, 2, 6, 3, 2, 6, 1, 2, 1, 2, 1, 3, 2, 4, 1, 1, 2, 1, 1, 1, 3, 2, 1, 2, 1, 2, 4, 2, 12, 1, 1, 1, 1, 2, 4, 1, 2, 2, 2, 1, 2, 1, 9, 4, 1, 1, 1, 9, 2, 8, 1, 1, 2, 2, 2, 1, 2, 3, 2, 1, 2, 1, 2, 1, 2, 2, 4, 10, 16, 3, 2, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,3

LINKS

T. D. Noe, Table of n, a(n) for n = 3..1000

FORMULA

a(n) = (A000040(n)-1)/A062117(n).

PROG

(PARI) a(n)=(prime(n)-1)/if(n<0, 0, k=1; while((3^k-1)%prime(n)>0, k++); k)

(Python)

from sympy import prime, n_order

def A094593(n):

    p = prime(n)

    return 1 if n == 3 else (p-1)//n_order(3, p) # Chai Wah Wu, Jan 15 2020

CROSSREFS

Cf. A001917.

Sequence in context: A177196 A010741 A094643 * A327814 A188348 A336434

Adjacent sequences:  A094590 A094591 A094592 * A094594 A094595 A094596

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Jun 06 2004

STATUS

approved

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Last modified December 8 23:37 EST 2021. Contains 349596 sequences. (Running on oeis4.)