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A083528 a(n) = 5^n mod 2*n. 6

%I #38 Sep 08 2022 08:45:10

%S 1,1,5,1,5,1,5,1,17,5,5,1,5,25,5,1,5,1,5,25,41,25,5,1,25,25,53,9,5,25,

%T 5,1,59,25,45,1,5,25,47,65,5,1,5,9,35,25,5,1,19,25,23,1,5,1,45,81,11,

%U 25,5,25,5,25,125,1,5,49,5,81,125,65,5,1,5,25,125,17,3,25,5,65,161,25,5,1,65

%N a(n) = 5^n mod 2*n.

%C a(n) = 1 iff n is in A067946. - _Robert Israel_, Dec 26 2014

%H Vincenzo Librandi, <a href="/A083528/b083528.txt">Table of n, a(n) for n = 1..1000</a>

%e a(3) = 5 because 5^3 = 125 and 125 == 5 mod (2 * 3).

%e a(4) = 1 because 5^4 = 625 and 625 == 1 mod (2 * 4).

%p seq(5 &^n mod (2*n), n = 1 .. 100); # _Robert Israel_, Dec 26 2014

%t Table[PowerMod[5, w, 2w], {w, 1, 100}]

%o (PARI) vector(100, n, lift(Mod(5, 2*n)^n)) \\ _Michel Marcus_, Dec 29 2014

%o (Magma) [Modexp(5, n, 2*n): n in [1..80]]; // _Vincenzo Librandi_, Oct 19 2018

%Y Cf. A000079, A000244, A000351, A000420, A082511.

%Y Cf. A067946, A083529, A083530.

%K easy,nonn

%O 1,3

%A _Labos Elemer_, Apr 30 2003

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Last modified March 19 02:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)