login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Numbers n such that n and n+1 are primitive abundant.
12

%I #24 Jun 29 2019 10:19:25

%S 82004,158235,326864,442035,516704,1102724,1606275,2151435,2697435,

%T 2912084,2921535,2979675,3002804,3241755,3647475,4322835,5801984,

%U 5905844,6069195,7251075,7387604,7553924,8272124,8788724,9292724,9909584

%N Numbers n such that n and n+1 are primitive abundant.

%C Intersection of A091191 and -1 + A091191.

%H Amiram Eldar, <a href="/A283418/b283418.txt">Table of n, a(n) for n = 1..1000</a>

%e 82004 is in the sequence because it is abundant (sum divisors = 164640, > 2*82004) and 82005 is also abundant (sum divisors = 165888, > 2*82005).

%t fQ[m_] := DivisorSigma[1, m] > 2 m;

%t gQ[m_] := fQ[m] && Union[fQ /@ Rest[Most[Divisors[m]]]] == {False};

%t V = Select[Range[10^7], gQ]; Intersection[V, V - 1]

%Y Cf. A091191, A005105, A096399.

%K nonn

%O 1,1

%A _Emmanuel Vantieghem_, May 02 2017