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%I #21 Feb 16 2021 13:53:08
%S 13,73,109,157,241,277,421,1549,3061,4561,4861,5701,6301,6829,8941,
%T 10429,13381,14029,14221,21169,22369,24049,26161,29761,30529,33601,
%U 39901,44221,45061,47581,55609,61609,62869,64381,74869,97549,121501,129061,133669,135661
%N Value of prime number D for incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = 3.
%C Is 61 the only term where this differs from A336794? - _R. J. Mathar_, Feb 16 2021
%H Christine Patterson, <a href="/A336796/a336796.txt">COCALC (Sage) program</a>
%e For D=13, the least positive y for which x^2-D*y^2=3 has a solution is 1. The next prime, D, for which x^2-D*y^2=3 has a solution is 61, but the smallest positive y in this case is also 1, which is equal to the previous record y. So, 61 is not a term.
%e The next prime, D, after 61 for which x^2-D*y^2=3 has a solution is 73, and the least positive y for which it has a solution in this case is y=11, which is larger than 1, so it is a new record y value. So, 73 is a term in this sequence and 11 is a term in A336800.
%Y Cf. A033316 (analog for x^2-D*y^2=1), A336790 (similar sequence for x's), A336800, A336794.
%K nonn
%O 1,1
%A _Christine Patterson_, Jan 17 2021
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