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A002155 Numbers n for which rank of the elliptic curve y^2=x^3+n is 2.
(Formerly M4957 N2125)
+0
5
15, 17, 24, 37, 43, 57, 63, 65, 73, 79, 89, 101, 106, 122, 129, 131, 142, 145, 148, 151, 161, 164, 168, 171, 186, 195, 197, 198, 204, 217, 222, 223, 225, 229, 232, 233, 248, 252, 260, 265, 268, 269, 281, 294, 295, 297, 303, 322, 331, 337, 347, 350, 353, 360, 366, 369, 373, 377, 381, 388, 389, 392, 404, 409, 412, 414, 433, 449, 464, 469, 481, 483, 485, 492 (list; graph; listen)
OFFSET

1,1

REFERENCES

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

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

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

LINKS

T. D. Noe, Table of n, a(n) for n=1..1724 (using Gebel)

L. Lehman, Elliptic Curves of Rank Two

H. Mishima, Tables of Elliptic Curves

J. Gebel, Integer points on Mordell curves

CROSSREFS

Cf. A060950, A002151, A002153, A102833, A060748, A060838, A060951-A060953.

Sequence in context: A074748 A155111 A124334 this_sequence A091017 A157716 A113968

Adjacent sequences: A002152 A002153 A002154 this_sequence A002156 A002157 A002158

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

More terms from James Buddenhagen (jbuddenh(AT)gmail.com), Feb 18 2005

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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