A193533 Numbers k such that the quartic elliptic curve y^2 = 5x^4 - 4k has no integer solutions.

2, 3, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17, 18, 21, 22, 23, 24, 26, 27, 28, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 80

Offset

1,1

Comments

For such k quintic trinomial x^5+k*x+m is not reducible into cubic and quadratic factors for anyone integer m.

Links

Table of n, a(n) for n=1..66.

Crossrefs

Cf. A193524, A193528, A193531.

Sequence in context: A057905 A353084 A039253 * A039159 A003251 A288315

Adjacent sequences: A193530 A193531 A193532 * A193534 A193535 A193536

Keyword

nonn

Author

Artur Jasinski, Jul 29 2011

Extensions

Definition modified by Harvey P. Dale, Feb 04 2017

Status

approved