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A341078
Incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = -3, where D is a prime number.
2
1, 2, 722, 837158, 77228318, 5436980738, 49637737974482, 462761120757722506058, 2836540596515452087502, 37216095020093890760397134162, 1858485134141860820807351059562927114738, 42507485681147639763501995374671391449914
OFFSET
1,2
EXAMPLE
From Jon E. Schoenfield, Feb 23 2021: (Start)
As D runs through the primes, the minimal y values satisfying the equation x^2 - D*y^2 = -3 begin as follows:
.
x values satisfying minimal
D x^2 - D*y^2 = -5 y value record
-- ---------------------- ------- ------
2 (none)
3 1, 2, 7, 26, 97, ... 1 *
5 (none)
7 1, 2, 14, 31, 223, ... 1
11 (none)
13 2, 38, 2558, ... 2 *
17 (none)
19 1, 14, 326, 4759, ... 1
23 (none)
29 (none)
31 2, 37, 604, ... 2
37 (none)
41 (none)
43 2, 61, 13867, ... 2
47 (none)
53 (none)
59 (none)
61 722, 60158, ... 722 *
...
The record high minimal values of y (marked with asterisks) are the terms of this sequence. The corresponding values of D are the terms of A341077. (End)
CROSSREFS
Sequence in context: A028367 A000197 A036298 * A153923 A167440 A156008
KEYWORD
nonn
AUTHOR
Christine Patterson, Feb 04 2021
EXTENSIONS
Edited by Jon E. Schoenfield, Feb 23 2021
STATUS
approved