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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A292552 Nontotients of the form 10^k - 2.

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%I A292552 #44 Jul 19 2024 04:35:02
%S A292552 98,998,9998,99998,999998,9999998,99999998,999999998,9999999998,
%T A292552 99999999998,999999999998,9999999999998,99999999999998,
%U A292552 999999999999998,9999999999999998,99999999999999998,999999999999999998,9999999999999999998,99999999999999999998
%N A292552 Nontotients of the form 10^k - 2.
%C A292552 There are no k for which (2^n)*(5^n)[p1*p2*...*pk]-2[p1*p2*...*pk]=m[(p1-1)*(p2-1)*...*(pk-1)].
%C A292552 Up to k = 60, the only totient of the form 10^k-2 is obtained for k=1. - _Giovanni Resta_, Sep 20 2017
%C A292552 For 10^k-2 with k > 1 to be a totient, it would have to be of the form (p-1)*p^m for some odd prime p and m >= 2. - _Robert Israel_, Sep 20 2017
%e A292552 a(1) = A011557(2) - 2 = A005277(13);
%e A292552 a(2) = A011557(3) - 2 = A005277(210);
%e A292552 a(3) = A011557(4) - 2 = A005277(2627);
%e A292552 a(4) = A011557(5) - 2 = A005277(29747).
%Y A292552 Cf. A005277, A011557, A099150.
%K A292552 nonn
%O A292552 1,1
%A A292552 _Torlach Rush_, Sep 18 2017
%E A292552 More terms from _Giovanni Resta_, Sep 20 2017