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A002153 Numbers n for which rank of the elliptic curve y^2=x^3+n is 1.
(Formerly M0682 N0251)
+0
5
2, 3, 5, 8, 9, 10, 11, 12, 18, 19, 22, 26, 28, 30, 31, 33, 35, 36, 38, 39, 40, 41, 44, 46, 47, 48, 50, 52, 54, 55, 56, 58, 61, 62, 66, 67, 68, 69, 71, 72, 74, 76, 77, 80, 82, 83, 91, 92, 94, 97, 98, 99, 100, 102, 103, 105, 107, 108, 110, 111, 112, 117, 118, 119 (list; graph; listen)
OFFSET

1,1

REFERENCES

B. J. Birch and H. P. F. Swinnerton-Dyer, Notes on elliptic curves, I, J. Reine Angew. Math., 212 (1963), 7-25.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

T. D. Noe, Table of n, a(n) for n=1..5111 (using Gebel)

H. Mishima, Tables of Elliptic Curves

J. Gebel, Integer points on Mordell curves

CROSSREFS

Cf. A060950, A002151, A002155, A102833, A060748, A060838, A060951-A060953.

Sequence in context: A010073 A126167 A026260 this_sequence A047607 A113051 A047372

Adjacent sequences: A002150 A002151 A002152 this_sequence A002154 A002155 A002156

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Corrected and extended by James Buddenhagen (jbuddenh(AT)gmail.com), Feb 18 2005

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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