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.

A341081 Value of prime number D for incrementally largest values of minimal y satisfying the equation x^2-D*y^2=5.

This page as a plain text file.
%I A341081 #8 Feb 14 2021 13:24:37
%S A341081 19,61,149,241,409,421,541,1069,1249,1381,1621,4261,4621,4789,6301,
%T A341081 8269,12601,12721,14449,16069,20101,32029,33889,34381,35281,38329,
%U A341081 43261,45061,60589,87481,89989,97549,99661,121081,125101,166021,178621,187069,191689,202381
%N A341081 Value of prime number D for incrementally largest values of minimal y satisfying the equation x^2-D*y^2=5.
%H A341081 Christine Patterson, <a href="/A341081/a341081.txt">COCALC (Sage) Program</a>
%e A341081 For D=19, the least positive y for which x^2-D*y^2=5 has a solution is 2. The next prime, D, for which x^2-D*y^2=5 has a solution is 29, but the smallest positive y in this case is 2, which is equal to the previous record y. So, 29 is not a term.
%e A341081 The next prime, D, after 19 for which x^2-D*y^2=5 has a solution is 61 and the least positive y for which it has a solution is y=58, which is larger than 2, so it is a new record y value. So 61 is in this sequence and 58 is in A341082.
%Y A341081 Cf. A033316 (analogous for x^2-D*y^2=1), A341079 (similar sequence for x's), A341082.
%K A341081 nonn
%O A341081 1,1
%A A341081 _Christine Patterson_, Feb 13 2021