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.
%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