cp's OEIS Frontend

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.

A282428 Numbers k such that A264097(k) = A264098(k), so : A264097(k)*2^k-1 and A264098(k)*2^k+1 are twin primes.

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%I A282428 #6 Feb 20 2017 22:28:03
%S A282428 1,2,6,10,18,29,63,155,211,264,546,1032,1156,1321,1553,3460,4901,5907,
%T A282428 8335,8529,11455,13153
%N A282428 Numbers k such that A264097(k) = A264098(k), so :  A264097(k)*2^k-1 and A264098(k)*2^k+1 are twin primes.
%C A282428 a(23) is > 31000.
%C A282428 The A264097(k) are : 3, 3, 3, 15, 3, 45, 9, 105, 9, 165, 297, 177, 1035, 1065, 291, 2403, 2565, 5775, 3975, 459, 915, 3981
%t A282428 With[{nn = 600}, Flatten@ Position[Transpose@ {Table[k = 3; While[! PrimeQ[k 2^n - 1], k += 6]; k, {n, nn}], Table[k = 3; While[! PrimeQ[k 2^n + 1], k += 6]; k, {n, nn}]}, w_ /; SameQ @@ w]] (* _Michael De Vlieger_, Feb 16 2017 *)
%Y A282428 Cf. A264097, A264098.
%K A282428 nonn,more
%O A282428 1,2
%A A282428 _Pierre CAMI_, Feb 15 2017