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.

A122764 Initial terms of arithmetic progression of primes in A005115 with duplicates removed.

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%I A122764 #18 Feb 04 2019 10:23:21
%S A122764 2,3,5,7,199,110437,4943,31385539,115453391,53297929,3430751869,
%T A122764 4808316343,8297644387,214861583621,5749146449311
%N A122764 Initial terms of arithmetic progression of primes in A005115 with duplicates removed.
%C A122764 Old title was: "In A005115 a+b*j: the a term with duplicates removed."
%C A122764 If duplicate terms are not removed, we obtain A113827. - _Charlie Neder_, Feb 02 2019
%H A122764 Ben Green and Terence Tao, <a href="https://doi.org/10.4007/annals.2008.167.481">The primes contain arbitrarily long arithmetic progressions</a>, Pages 481-547 from Volume 167 (2008), Issue 2.
%e A122764 A005115(7) comes from the 7-term prime progression {7, 157, 307, 457, 607, 757, 907}, and so 7 is in this sequence. - _Charlie Neder_, Feb 02 2019
%t A122764 a = {{ 1, 2, 2}, {2, 2 + j, 3}, {3, 3 + 2j, 7}, {4, 5 + 6j, 23}, {5, 5 + 6j, 29}, {6, 7 + 30j, 157}, {7, 7 + 150j, 907}, {8, 199 + 210j, 1669}, {9, 199 + 210j, 1879}, {10, 199 + 210j, 2089}, {11, 110437 + 13860j, 249037}, {12, 110437 + 13860j, 262897}}
%t A122764 Union[Table[CoefficientList[a[[n, 2]], j][[1]], {n, 1, 12}]]
%Y A122764 Cf. A093364, A005115.
%K A122764 nonn,less
%O A122764 1,1
%A A122764 _Roger L. Bagula_, Sep 22 2006
%E A122764 Better name and a(7)-a(15) from _Charlie Neder_, Feb 02 2019