The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A081116 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A081116

Numbers k such that 17 divides 3^k-k.
(history; published version)

#20 by Michael De Vlieger at Sun May 15 07:30:24 EDT 2022

STATUS

reviewed

approved

#19 by Joerg Arndt at Sun May 15 01:29:52 EDT 2022

STATUS

proposed

reviewed

#18 by Amiram Eldar at Sat May 14 12:47:11 EDT 2022

STATUS

editing

proposed

#17 by Amiram Eldar at Sat May 14 12:46:56 EDT 2022

PROG

(PARI) isok(n) = (Mod(3, 17)^n- == Mod(n) % , 17) == 0; \\ Michel Marcus, Dec 02 2013

STATUS

reviewed

editing

Discussion

Sat May 14

12:47

Amiram Eldar: Fixed.

#16 by Joerg Arndt at Sat May 14 07:36:44 EDT 2022

STATUS

proposed

reviewed

Discussion

Sat May 14

07:37

Joerg Arndt: remove inefficient Pari code?

#15 by Amiram Eldar at Sat May 14 05:55:03 EDT 2022

STATUS

editing

proposed

#14 by Amiram Eldar at Sat May 14 05:51:50 EDT 2022

LINKS

<a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (2,-2,2,-2,2,-2,2,-2,2,-2,2,-2,2,-2,2,-1).

#13 by Amiram Eldar at Sat May 14 05:50:58 EDT 2022

NAME

Numbers n k such that 17 divides 3^nk-nk.

FORMULA

a(n+1)-a(n) is the 16-periodic sequence (24, 13, 33, 57, 2, 6, 12, 7, 3, 1, 38, 5, 9, 26, 15, 21).

MATHEMATICA

Select[Range[1000], PowerMod[3, #, 17] == Mod[#, 17] &] (* Amiram Eldar, May 14 2022 *)

#12 by Amiram Eldar at Sat May 14 05:50:05 EDT 2022

LINKS

Amiram Eldar, <a href="/A081116/b081116.txt">Table of n, a(n) for n = 1..10000</a>

STATUS

approved

editing

#11 by Bruno Berselli at Mon Dec 02 10:28:45 EST 2013

STATUS

proposed

approved