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.

A226071 Numbers k such that triangular(k)+1 is a square and triangular(k)+2 is a prime.

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%I A226071 #16 Aug 29 2025 11:02:57
%S A226071 0,2,5,189,3074,218685
%N A226071 Numbers k such that triangular(k)+1 is a square and triangular(k)+2 is a prime.
%C A226071 Subsequence of A006451 that contains the terms k such that triangular(k)+2 is prime.
%C A226071 a(7) is too large to include here (see b-file). - _Max Alekseyev_, Jan 30 2014
%H A226071 Max Alekseyev, <a href="/A226071/b226071.txt">Table of n, a(n) for n = 1..12</a>
%t A226071 Select[Range[0,220000],IntegerQ[Sqrt[(#(#+1))/2+1]]&&PrimeQ[(#(#+1))/2+2]&] (* _Harvey P. Dale_, Mar 01 2023 *)
%o A226071 (C) // see A226069.
%Y A226071 Corresponding primes: A226069.
%Y A226071 Roots of corresponding squares: A226070.
%Y A226071 Cf. A226071-A226074.
%K A226071 nonn,changed
%O A226071 1,2
%A A226071 _Alex Ratushnyak_, May 25 2013
%E A226071 Terms a(7)-a(12) from _Max Alekseyev_, Jan 30 2014