%N Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 3.
%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="/A336794/a336794.txt">COCALC (Sage) program</a>
%e For D=73, the least x for which x^2-D*y^2=3 has a solution is 94. The next prime, D, for which x^2-D*y^2=3 has a solution is 97, but the smallest x in this case is 10, which is less than 97. The next prime, D, after 97 for which x^2-D*y^2=3 has a solution is 109 and the least x for which it has a solution is 9532, which is larger than 97, so it is a new record value. 73 is a term of this sequence and 94 is a term of A336795, but 97 is not a term here because the least x for which x^2-D*y^2=3 has a solution at D=97 is not a record value.
%Y Cf. A033316, A336795.
%A _Christine Patterson_, Jan 17 2021