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A201047 Coordinates x of Mordell elliptic curves x^3-y^2 for primary extremal points with quadratic extensions over rationals. 6
1942, 2878, 3862, 6100, 8380, 18694, 31228, 93844, 111382, 117118, 129910, 143950, 186145, 210025, 575800, 1193740, 1248412, 1326025, 1388545, 1501504, 1697908, 1813660, 1946737, 2069353, 2151262, 2305180, 3864190, 3897622, 54054144, 61974313, 63546025 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For y coordinates see A201269.

For distances d between cubes and squares see A201268.

Primary points in A200656.

For definition primary points see A200656.

For secondary terms in A200656 see A201048.

For successive quadratic extensions see A201278.

Theorem (*Artur Jasinski*):

Every particular coordinate x contained only one extremal point.

Proof (*Artur Jasinski*): Coordinate y is computable from the formula y(x) = round(sqrt(x^3)) and distance d between cube of x and square of y is computable from the formula d(x) = x^3-(round(sqrt(x^3)))^2.

LINKS

Table of n, a(n) for n=1..31.

FORMULA

a(n) = (A201268(n)+(A201269(n))^2)^(1/3).

CROSSREFS

Cf. A201268, A201269, A200656.

Sequence in context: A236714 A203890 A200656 * A269039 A300199 A252151

Adjacent sequences:  A201044 A201045 A201046 * A201048 A201049 A201050

KEYWORD

nonn

AUTHOR

Artur Jasinski, Nov 26 2011

STATUS

approved

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Last modified October 21 16:25 EDT 2019. Contains 328302 sequences. (Running on oeis4.)