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Numbers n such that the near-repdigit number consisting of n-1 1's followed by a terminal 3 (i.e., of the form 111...1113) is composite.
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%I #16 Jul 29 2017 10:53:58

%S 4,6,7,8,10,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,

%T 32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,

%U 55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78

%N Numbers n such that the near-repdigit number consisting of n-1 1's followed by a terminal 3 (i.e., of the form 111...1113) is composite.

%C Complement of A097683.

%C Numbers k such that (10^n + 17)/9 is composite (see A098406).

%o (PARI) isok(n) = ! isprime((10^n + 17)/9); \\ _Michel Marcus_, Jul 27 2017

%Y Cf. A098406, A105433.

%K nonn,base

%O 1,1

%A _Lekraj Beedassy_, Apr 08 2005