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A193528 Numbers k such that the quartic elliptic curve y^2 = 5x^4 + 4k does not have integer solutions. 6
2, 3, 6, 7, 8, 10, 12, 13, 14, 15, 17, 18, 20, 21, 22, 23, 24, 26, 27, 28, 30, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 45, 46, 47, 48, 50, 51, 52, 53, 54, 56, 57, 58, 60, 62, 63, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 82, 83, 84, 85, 86, 87, 88 (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 any integer m.

LINKS

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

CROSSREFS

Cf. A193524.

Sequence in context: A184798 A047560 A032899 * A232681 A296350 A076436

Adjacent sequences:  A193525 A193526 A193527 * A193529 A193530 A193531

KEYWORD

nonn

AUTHOR

Artur Jasinski, Jul 29 2011

EXTENSIONS

Definition corrected by Harvey P. Dale, Mar 25 2012

STATUS

approved

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Last modified March 26 01:08 EDT 2019. Contains 321479 sequences. (Running on oeis4.)