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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.

A353302 Numbers k such that A004394(k)-1 and A004394(k)+1 are twin primes.

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%I A353302 #7 Apr 10 2022 09:50:13
%S A353302 3,4,5,9,11,12,24,25,76,82,105,139,217,1370
%N A353302 Numbers k such that A004394(k)-1 and A004394(k)+1 are twin primes.
%C A353302 a(15) > 10^5, if it exists.
%e A353302 3 is a term since the third superabundant number is A004394(3) = 4 and {4-1, 4+1} = {3, 5} is a twin primes pair.
%t A353302 s = {}; abm = 0; k = 0; Do[ab = DivisorSigma[-1, n]; If[ab > abm, abm = ab; k++; If[PrimeQ[n - 1] && PrimeQ[n + 1], AppendTo[s, k]]], {n, 1, 10^6}]; s
%Y A353302 Intersection of A353300 and A353301.
%Y A353302 Cf. A001097, A004394, A068507, A321995.
%K A353302 nonn,more
%O A353302 1,1
%A A353302 _Amiram Eldar_, Apr 10 2022