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 A341083 #12 Feb 20 2021 23:09:27 %S A341083 5,29,61,109,181,641,661,1021,1549,2161,2389,3169,3469,4909,5581,8929, %T A341083 9601,9949,12841,13381,14029,17029,21169,24709,25309,28729,31249, %U A341083 32869,34549,35149,39901,40429,43801,48049,49009,56401,56701,62701,63541,70141,86269,91009 %N A341083 Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = -5. %C A341083 Analogous to A033316 for x^2 - D*y^2 = 1, and D is required to be prime, and for record values of x. %H A341083 Christine Patterson, <a href="/A341083/a341083.txt">COCALC (Sage) Program</a> %e A341083 For D=29, the least x for which x^2 - D*y^2 = -5 has a solution is 16. The next prime, D, for which x^2 - D*y^2 = -5 has a solution is 41, but the smallest x in this case is 6, which is less than 16. The next prime, D, after 41 for which x^2 - D*y^2 = -5 has a solution is 61 and the least x for which it has a solution is 164, which is larger than 16, so it is a new record value. So 29 is a term of this sequence and 16 is the corresponding term of A341084, but 41 is not a term here because the least x for which x^2 - D*y^2 = -5 has a solution is not a record value. %e A341083 From _Jon E. Schoenfield_, Feb 20 2021: (Start) %e A341083 As D runs through the primes, the minimal x values satisfying the equation x^2 - D*y^2 = -5 begin as follows: %e A341083 . %e A341083 x values satisfying minimal %e A341083 D x^2 - D*y^2 = -5 x value record %e A341083 -- --------------------- ------- ------ %e A341083 2 (none) %e A341083 3 (none) %e A341083 5 0, 20, 360, 6460, ... 0 * %e A341083 7 (none) %e A341083 11 (none) %e A341083 13 (none) %e A341083 17 (none) %e A341083 19 (none) %e A341083 23 (none) %e A341083 29 16, 1524, 315156, ... 16 * %e A341083 31 (none) %e A341083 37 (none) %e A341083 41 6, 826, 25414, ... 6 %e A341083 43 (none) %e A341083 47 (none) %e A341083 51 (none) %e A341083 53 (none) %e A341083 59 (none) %e A341083 61 164, 26924344, ... 164 * %e A341083 ... %e A341083 The record high minimal values of x (marked with asterisks) are the terms of A341084. The corresponding values of D are the terms of this sequence. (End) %Y A341083 Cf. A033316, A341084. %K A341083 nonn %O A341083 1,1 %A A341083 _Christine Patterson_, Feb 13 2021 %E A341083 a(1)=5 inserted and Example section edited by _Jon E. Schoenfield_, Feb 20 2021