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A336794 Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 3. 3

%I

%S 13,61,73,109,157,241,277,421,1549,3061,4561,4861,5701,6301,6829,8941,

%T 10429,13381,14029,14221,21169,22369,24049,26161,29761,30529,33601,

%U 39901,44221,45061,47581,55609,61609,62869,64381,74869,97549

%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.

%K nonn

%O 1,1

%A _Christine Patterson_, Jan 17 2021

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Last modified May 12 21:06 EDT 2021. Contains 343829 sequences. (Running on oeis4.)