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%I #14 Feb 27 2021 21:50:20
%S 3,13,61,181,397,541,661,1021,1381,1621,3361,3529,4201,4261,4621,6421,
%T 9241,9601,9949,12541,20161,23209,25309,32869,37321,43261,71821,78901,
%U 82021,112429,127261,131041,137089,139309,144169,169789,183661,226669,300301
%N Value of prime number D for incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = -3.
%H Christine Patterson, <a href="/A341077/a341077.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 2. The next primes, D, for which x^2 - D*y^2 = -3 has a solution are 19, 31, and 43, but the smallest positive y in each of those cases is 1 or 2, neither of which is larger than the previous record y, 2. So 19, 31, and 43 are not terms of this sequence.
%e The next prime, D, after 43 for which x^2 - D*y^2 = -3 has a solution is 61, and the least positive y for which it has a solution is y=722, which is larger than 2, so it is a new record y value. So 61 is a term of this sequence and 722 is the corresponding term of A341078.
%Y Cf. A033316 (analogous for x^2 - D*y^2 = 1), A336801 (similar sequence for x's), A341078.
%K nonn
%O 1,1
%A _Christine Patterson_, Feb 04 2021
%E a(1) corrected and Example section edited by _Jon E. Schoenfield_, Feb 23 2021
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