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A271113 Numbers not in the range of the sum of abundant divisors function.

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%I A271113 #22 Apr 27 2017 12:06:54
%S A271113 1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,19,21,22,23,25,26,27,28,29,31,
%T A271113 33,34,35,37,39,41,43,45,46,47,49,51,53,55,57,59,61,63,65,67,69,71,73,
%U A271113 75,77,79,81,83,85,87,89,91,93,95,97,99,101,103,105,107,109,111,113,115,117,119,121,123,125,127,129,131,133,135,137,139
%N A271113 Numbers not in the range of the sum of abundant divisors function.
%C A271113 Numbers which do not appear in A187795 or in A270660; that is, there is no integer N whose sum of abundant divisors is equal to a(n) for any n.
%C A271113 This is a finite sequence that contains every odd positive integer less than 945, twelve even integers with 46 being the largest, and has the prime number 20161 as its last term.
%C A271113 A048242 contains the first three primitive abundant numbers: 12, 18, 20.
%H A271113 Sin Hitotumatu, <a href="http://dx.doi.org/10.2977/prims/1195193227">On the Limit for the Representation by the Sum of Two Abundant Numbers</a>, Publications of the Research Institute for Mathematical Sciences of Kyoto University, 8 (1972/1973), 111-116.
%Y A271113 Cf. A005101, subsequence of A048242 and A263837, A048260, A187795, A270660 (complement).
%K A271113 nonn,fini
%O A271113 1,2
%A A271113 _Timothy L. Tiffin_, Jul 13 2016