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A016107
Bachet's equation: X^2 + k = Y^3, k=999. The terms are values of X, corresponding Y are in A248481.
1
1, 27, 251, 1782, 2295, 3370501
OFFSET
1,2
REFERENCES
W. S. Anglin, Mathematics, A Concise History and Philosophy, Springer, NY 1994. p. 222.
LINKS
Ray P. Steiner, On Mordell's Equation y^2 - k = x^3: A Problem of Stolarsky, Mathematics of Computation, Vol. 46, No. 174, Apr., 1986, pp. 703-714.
MATHEMATICA
r[y_] := Reduce[x > 0 && x^2 + 999 == y^3, x, Integers];
For[y = 1, True, y++, ry = r[y]; If[ry =!= False, Print["x = ", ry[[2]], ", y = ", y]]] (* Jean-François Alcover, Dec 02 2019 *)
CROSSREFS
Cf. A248481.
Sequence in context: A030509 A042414 A099226 * A101379 A374894 A132652
KEYWORD
nonn,fini,full
EXTENSIONS
Corrected and edited by Paul Muljadi, Aug 25 2010
Name improved by Joerg Arndt following a proposition in discussion from Bernard Schott, Dec 02 2019
STATUS
approved