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%I #9 Feb 14 2021 01:38:51
%S 1,11,913,23111,221161,3450467,78495388880651,
%T 10727569485920362724490720830137,
%U 2027623752997677729366859925491727716361771,127194478138610620242010764302143341359067289,264781463133512691674640873276575271478272395041
%N Incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = 3, where D is a prime number.
%H Christine Patterson, <a href="/A336800/a336800.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 13 for which x^2-D*y^2=3 has a solution is 73 and the least positive y for which it has a solution is y=11, which is larger than 1, so it is a new record y value. So, 73 is a term of A336796 and 11 is a term of this sequence.
%Y Cf. A033315, A336796.
%K nonn
%O 1,2
%A _Christine Patterson_, Feb 04 2021
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