A182468 Numbers k such that the equation x^2 - k*y^4 = 1 has a solution for which |y| > 2.

20, 63, 65, 79, 83, 156, 183, 254, 258, 285, 320, 323, 325, 328, 505, 573, 579, 600, 623, 627, 723, 735, 791, 994, 1020, 1023, 1025

Offset

1,1

References

Williams, H. C. and Zarnke, C. R., Computation of the solutions of the Diophantine equation x^2-dy^4=1. Proceedings of the Third Southeastern Conference on Combinatorics, Graph Theory and Computing (Florida Atlantic Univ., Boca Raton, Fla., 1972), pp. 463-483. Florida Atlantic Univ., Boca Raton, Fla., 1972.

Links

Table of n, a(n) for n=1..27.

Pierre Samuel, Résultats élémentaires sur certaines équations diophantiennes, Journal de Théorie des Nombres de Bordeaux, Tome 14 (2002) no. 2, pp. 629-646.

Crossrefs

Sequence in context: A007248 A117431 A159504 * A117432 A033577 A262486

Adjacent sequences: A182465 A182466 A182467 * A182469 A182470 A182471

Keyword

nonn,more

Author

N. J. A. Sloane, Apr 30 2012

Extensions

Duplicate term 723 removed by Georg Fischer, Mar 19 2022

a(1) corrected by Jinyuan Wang, Aug 09 2022

Status

approved