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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.

A341076 Incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = -3, where D is a prime number.

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%I A341076 #19 Aug 17 2025 01:46:47
%S A341076 0,2,7,11,13,5639,11262809,1538763335,126460946201,1276182285427369,
%T A341076 14786648025753749026871,105410978030726984449289,
%U A341076 1498381179129960066289070257961,107744062788861651804382809216696729188191,2525173635632697805707745894621283442852191
%N A341076 Incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = -3, where D is a prime number.
%C A341076 Analogous to A033315 for x^2 - D*y^2 = 1, and D required to be prime.
%H A341076 Christine Patterson, <a href="/A341076/a341076.txt">COCALC (Sage) Program</a>
%e A341076 For D=13, the least x for which x^2 - D*y^2 = -3 has a solution is 7. The next prime, D, for which x^2 - D*y^2 = -3 has a solution is 19, but the smallest x in this case is 4, which is less than 7. The next prime, D, after 19 for which x^2 - D*y^2 = -3 has a solution is 31 and the least x for which it has a solution is 11, which is larger than 7, so it is a new record value. x=11 is a term of this sequence and the corresponding value D=31 is a term of A336801, but 19 is not a term there because the least x for which x^2 - D*y^2 = -3 has a solution at D=19 is not a record value.
%e A341076 From _Jon E. Schoenfield_, Feb 23 2021: (Start)
%e A341076 As D runs through the primes, the minimal x values satisfying the equation x^2 - D*y^2 = -3 begin as follows:
%e A341076 .
%e A341076        x values satisfying    minimal
%e A341076    D     x^2 - D*y^2 = -5     x value  record
%e A341076   --  ----------------------  -------  ------
%e A341076    2  (none)
%e A341076    3  0, 3, 12, 45, 168, ...      0      *
%e A341076    5  (none)
%e A341076    7  2, 5, 37, 82, 590, ...      2      *
%e A341076   11  (none)
%e A341076   13  7, 137, 9223, ...           7      *
%e A341076   17  (none)
%e A341076   19  4, 61, 1421, ...            4
%e A341076   23  (none)
%e A341076   29  (none)
%e A341076   31  11, 206, 33646, ...        11      *
%e A341076   37  (none)
%e A341076   41  (none)
%e A341076   43  13, 400, 90932, ...        13      *
%e A341076   ...
%e A341076 The record high minimal values of x (marked with asterisks) are the terms of this sequence. The corresponding values of D are the terms of A336801. (End)
%Y A341076 Cf. A033315, A336801.
%K A341076 nonn
%O A341076 1,2
%A A341076 _Christine Patterson_, Feb 04 2021
%E A341076 a(1)=0 inserted and Example section edited by _Jon E. Schoenfield_, Feb 23 2021