

A200656


Successive values x such that the Mordell elliptic curve x^3  y^2 = d has extremal points with quadratic extension over rationals.


9



1942, 2878, 3862, 6100, 8380, 11512, 15448, 18694, 31228, 93844, 111382, 117118, 129910, 143950, 186145, 210025, 375376, 445528, 468472, 575800, 844596, 1002438, 1054062, 1193740, 1248412, 1326025, 1388545
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OFFSET

1,1


COMMENTS

Definition: Extremal points on the Mordell elliptic curve x^3y^2=d are points (x,y) such that x^3  round(sqrt(x^3))^2 = d. For values d for successive x independent of the extensions see A077119.
For y values see A200657.
For d values see A200658.
Definition: Secondary terms occur when there exist integers k such that A200656 is divisible by k^2, A200657 is divisible by k^3 and A200658 is divisible by k^6.
Terms free of such k are primary terms see A201047. Secondary terms are e.g.: a(6)=a(2)*2^2, a(7)=a(3)*2^2, a(17)=a(10)*2^2, a(18)=a(11)*2^2, a(19)=a(12)*2^2, a(21)=a(10)*3^2.
For successive secondary terms see A201048.
A200216 is a subset of this sequence.


LINKS

Peter J. C. Moses and Artur Jasinski, Complete list of extremal points on Mordell curves x^3  y^2 = d with quadratic extensions in range x from 1 to 10^9


CROSSREFS

Cf. A200216, A201047.
Sequence in context: A202529 A236714 A203890 * A201047 A269039 A300199
Adjacent sequences: A200653 A200654 A200655 * A200657 A200658 A200659


KEYWORD

nonn


AUTHOR

Artur Jasinski, Nov 20 2011


STATUS

approved



