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A081116 Numbers k such that 17 divides 3^k-k. 1
5, 29, 42, 75, 132, 134, 140, 152, 159, 162, 163, 201, 206, 215, 241, 256, 277, 301, 314, 347, 404, 406, 412, 424, 431, 434, 435, 473, 478, 487, 513, 528, 549, 573, 586, 619, 676, 678, 684, 696, 703, 706, 707, 745, 750, 759, 785, 800, 821, 845, 858, 891, 948 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Suggested by a problem in a web page by Hojoo Lee entitled "Challenging problems in number theory". However, the page no longer exists.
LINKS
Index entries for linear recurrences with constant coefficients, signature (2,-2,2,-2,2,-2,2,-2,2,-2,2,-2,2,-2,2,-1).
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 *)
PROG
(PARI) isok(n) = Mod(3, 17)^n == Mod(n, 17); \\ Michel Marcus, Dec 02 2013
CROSSREFS
Cf. A024024 (3^n-n).
Sequence in context: A340154 A117746 A156053 * A192090 A268673 A146829
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Apr 16 2003
STATUS
approved

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Last modified June 20 03:21 EDT 2024. Contains 373512 sequences. (Running on oeis4.)