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A336795 Incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 3, where D is a prime number. 2

%I

%S 4,8,94,9532,289580,3433342,57427216,1610590723242832,

%T 422208570755689121370258391432928,

%U 112180929726349239798469275333193570657564148,8590101469813781580594707823194303692816416722

%N Incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 3, where D is a prime number.

%C Analogous to A033315 for x^2 - D*y^2 = 1, and D required to be prime.

%H Christine Patterson, <a href="/A336795/a336795.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 94. 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 94, so it is a new record value. 73 is a term of A336794 and 94 is a term of this sequence, but 97 is not a term of A336794 because the least x for which x^2 - 97*y^2 = 3 has a solution is not a record value.

%Y Cf. A033315, A336794.

%K nonn

%O 1,1

%A _Christine Patterson_, Jan 17 2021

%E Example section edited by _Jon E. Schoenfield_, Feb 23 2021

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Last modified June 19 18:24 EDT 2021. Contains 345144 sequences. (Running on oeis4.)