A341086 Incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = -5, where D is a prime number.

1, 3, 21, 101661, 7661007, 4799633969721, 77198907060727563, 925844015429395821936018843, 42098324998788084039841633029, 11083764383781783138639570812583, 1490226373435897063030119543467763

Offset

1,2

Links

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

Christine Patterson, COCALC (Sage) Program

Example

For D=29, the least positive y for which x^2 - D*y^2 = -5 has a solution is 3. The next prime, D, for which x^2 - D*y^2 = -5 has a solution is 41, but the smallest positive y in this case is 1, which is less than the previous record y, 3. So, 41 is not a term.
The next prime, D, after 41 for which x^2 - D*y^2 = -5 has a solution is 61 and the least positive y for which it has a solution is y=21, which is larger than 3, so it is a new record y value. So 61 is a term of A341085 and 21 is a term of this sequence.

Crossrefs

Cf. A033315, A341085.

Sequence in context: A331897 A001139 A359570 * A277628 A016449 A161377

Adjacent sequences: A341083 A341084 A341085 * A341087 A341088 A341089

Keyword

nonn

Author

Christine Patterson, Feb 13 2021

Extensions

a(1)=1 inserted and Example edited by Jon E. Schoenfield, Feb 20 2021

Status

approved