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A002153 Numbers n for which rank of the elliptic curve y^2=x^3+n is 1.
(Formerly M0682 N0251)
12

%I M0682 N0251

%S 2,3,5,8,9,10,11,12,18,19,22,26,28,30,31,33,35,36,38,39,40,41,44,46,

%T 47,48,50,52,54,55,56,58,61,62,66,67,68,69,71,72,74,76,77,80,82,83,91,

%U 92,94,97,98,99,100,102,103,105,107,108,110,111,112,117,118,119

%N Numbers n for which rank of the elliptic curve y^2=x^3+n is 1.

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

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

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

%H T. D. Noe, <a href="/A002153/b002153.txt">Table of n, a(n) for n=1..5111</a> (using Gebel)

%H J. Gebel, <a href="/A001014/a001014.txt">Integer points on Mordell curves</a> [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017]

%H H. Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/ec/eca1/ec01rp.txt">Tables of Elliptic Curves</a>

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

%K nonn

%O 1,1

%A _N. J. A. Sloane_.

%E Corrected and extended by _James R. Buddenhagen_, Feb 18 2005

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Last modified February 22 01:04 EST 2019. Contains 320381 sequences. (Running on oeis4.)