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 A341079 #12 Feb 27 2021 21:50:41 %S A341079 5,19,29,41,61,149,241,409,421,541,1069,1249,1381,1621,4261,4621,4789, %T A341079 6301,8269,12601,12721,14449,16069,20101,32029,33889,34381,35281, %U A341079 38329,43261,45061,60589,87481,89989,97549,99661,121081,125101,166021,178621,187069,191689 %N A341079 Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 5. %C A341079 Analogous to A033316 for x^2 - D*y^2 = 1, and D is required to be prime, and for record values of x. %H A341079 Christine Patterson, <a href="/A341079/a341079.txt">COCALC (Sage) Program</a> %e A341079 For D=29, the least x for which x^2 - D*y^2 = 5 has a solution is 11. The next prime, D, for which x^2 - D*y^2 = 5 has a solution is 31, but the smallest x in this case is 6, which is less than 11. The next prime, D, after 31 for which x^2 - D*y^2 = 5 has a solution is 41 and the least x for which it has a solution is 13, which is larger than 11, so it is a new record value. 29 is a term of this sequence and 11 is the corresponding term of A341080, but 31 is not a term of this sequence because at D=31 the least x for which x^2 - D*y^2 = 5 has a solution is not a record value. %Y A341079 Cf. A033316, A341080. %K A341079 nonn %O A341079 1,1 %A A341079 _Christine Patterson_, Feb 04 2021 %E A341079 a(1)=5 inserted and Example section edited by _Jon E. Schoenfield_, Feb 23 2021