OFFSET
1,3
COMMENTS
If there is a solution, then y >= k^(3/2). For k = r^2, the least solution is (x = 0, y = r^3).
EXAMPLE
k = 4 is a term: 8^2 = 4^3.
k = 11 is a term: 39^2 = 11^3 + 19*20/2.
PROG
(PARI) isOK(k) = { []<>bnfisintnorm(bnfinit(x^2-2), 16*k^3-2)} \\ Thomas Scheuerle, Sep 19 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Ctibor O. Zizka, Sep 19 2023
STATUS
approved