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%I #12 Feb 27 2021 21:50:41
%S 5,19,29,41,61,149,241,409,421,541,1069,1249,1381,1621,4261,4621,4789,
%T 6301,8269,12601,12721,14449,16069,20101,32029,33889,34381,35281,
%U 38329,43261,45061,60589,87481,89989,97549,99661,121081,125101,166021,178621,187069,191689
%N Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 5.
%C Analogous to A033316 for x^2 - D*y^2 = 1, and D is required to be prime, and for record values of x.
%H Christine Patterson, <a href="/A341079/a341079.txt">COCALC (Sage) Program</a>
%e 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 Cf. A033316, A341080.
%K nonn
%O 1,1
%A _Christine Patterson_, Feb 04 2021
%E a(1)=5 inserted and Example section edited by _Jon E. Schoenfield_, Feb 23 2021
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