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Numbers which are not pseudoperfect: Complement of A005835.
4

%I #13 Aug 03 2018 08:14:36

%S 1,2,3,4,5,7,8,9,10,11,13,14,15,16,17,19,21,22,23,25,26,27,29,31,32,

%T 33,34,35,37,38,39,41,43,44,45,46,47,49,50,51,52,53,55,57,58,59,61,62,

%U 63,64,65,67,68,69,70,71,73,74,75,76,77,79,81,82,83,85,86,87,89,91,92,93,94,95

%N Numbers which are not pseudoperfect: Complement of A005835.

%C Contains the weird numbers 70, 836, ... (A006037), so is different from the set A005100 of deficient numbers.

%C A065205(a(n)) = A210455(a(n)) = 0. - _Reinhard Zumkeller_, Jan 21 2013

%H Reinhard Zumkeller, <a href="/A136447/b136447.txt">Table of n, a(n) for n = 1..10000</a>

%t ppQ[n_] := AnyTrue[Subsets[Divisors[n] // Most], Total[#] == n&];

%t Select[Range[100], Not[ppQ[#]]&] (* _Jean-François Alcover_, Aug 03 2018 *)

%o (Haskell)

%o a136447 n = a136447_list !! (n-1)

%o a136447_list = filter ((== 0) . a210455) [1..]

%o -- _Reinhard Zumkeller_, Jan 21 2013

%Y Cf. A006037, A005100, A005835, A023196.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Apr 06 2008

%E Edited by _M. F. Hasler_, Jul 18 2016