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A193533 Numbers k such that the quartic elliptic curve y^2 = 5x^4 - 4k has no integer solutions. 4
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 (list; graph; refs; listen; history; text; internal format)
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: A032775 A057905 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

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Last modified June 20 19:03 EDT 2021. Contains 345207 sequences. (Running on oeis4.)