A336800 Incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = 3, where D is a prime number.

1, 11, 913, 23111, 221161, 3450467, 78495388880651, 10727569485920362724490720830137, 2027623752997677729366859925491727716361771, 127194478138610620242010764302143341359067289, 264781463133512691674640873276575271478272395041

Offset

1,2

Links

Table of n, a(n) for n=1..11.

Christine Patterson, COCALC (Sage) Program

Example

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.
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.

Crossrefs

Cf. A033315, A336796.

Sequence in context: A024150 A052071 A176709 * A083816 A233092 A302374

Adjacent sequences: A336797 A336798 A336799 * A336801 A336802 A336803

Keyword

nonn

Author

Christine Patterson, Feb 04 2021

Status

approved