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Log base 2 (n) mod 83.
0

%I #13 Aug 21 2021 07:07:57

%S 0,1,72,2,27,73,8,3,62,28,24,74,77,9,17,4,56,63,47,29,80,25,60,75,54,

%T 78,52,10,12,18,38,5,14,57,35,64,20,48,67,30,40,81,71,26,7,61,23,76,

%U 16,55,46,79,59,53,51,11,37,13,34,19,66,39,70,6,22,15,45,58,50,36,33,65,69,21,44,49,32,68,43,31,42,41

%N Log base 2 (n) mod 83.

%D I. M. Vinogradov, Elements of Number Theory, p. 225.

%H I. M. Vinogradov, <a href="https://isidore.co/calibre/get/pdf/4459">Elements of Number Theory</a>, Translation of 5th revised edition, Dover Publications Inc., 1954, p. 225.

%F Row n=23 of T(n,k) in A054503. - _Georg Fischer_, Jan 19 2020

%p a:= n-> numtheory[mlog](n, 2, 83):

%p seq(a(n), n=1..82); # _Alois P. Heinz_, Aug 21 2021

%t a[1]=0; a[n_]:=MultiplicativeOrder[2, 83, {n}]; Array[a, 82] (* _Vincenzo Librandi_, Apr 04 2020 *)

%Y Cf. A054503.

%K nonn,fini,full

%O 1,3

%A _N. J. A. Sloane_.

%E a(60)-a(82) from _Georg Fischer_, Jan 19 2020