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A134073 Complete list of solutions to y^2 = x^3 + 73; sequence gives y values. 5
3, 9, 10, 17, 611, 6717 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
For corresponding x values see A134074.
LINKS
EXAMPLE
a(1)^2 = 3^2 = 9 = A134074(1)^3 + 73 = -64 + 73.
a(2)^2 = 9^2 = 81 = A134074(2)^3 + 73 = 8 + 73.
a(3)^2 = 10^2 = 100 = A134074(3)^3 + 73 = 27 + 73.
a(4)^2 = 17^2 = 289 = A134074(4)^3 + 73 = 216+ 73.
a(5)^2 = 611^2 = 373321 = A134074(5)^3 + 73 = 373248+ 73.
a(6)^2 = 6717^2 = 45118089 = A134074(6)^3 + 73 = 45118016+ 73.
PROG
(Magma) Sort([ Abs(p[2]) : p in IntegralPoints(EllipticCurve([0, 73])) ]); /* adapted from A029727 */
CROSSREFS
Sequence in context: A049096 A272653 A030794 * A088005 A340459 A125237
KEYWORD
nonn,fini,full
AUTHOR
Klaus Brockhaus, Oct 07 2007
STATUS
approved

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Last modified March 28 08:22 EDT 2024. Contains 371236 sequences. (Running on oeis4.)