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A002769 Discriminants of totally real quartic fields (see comments).
(Formerly M5475 N2371)
2

%I M5475 N2371

%S 725,1125,1600,2000,2048,2225,2304,2525,2624,3600,4205,4225,4352,4400,

%T 4525,4752,4913,5125,5225,5725,6125,7056,7168,7225,7232,7488,7600,

%U 7625,8000,8112,8525,8725,8768,8957,9225,9248,9792,10025,10304,10309,10512

%N Discriminants of totally real quartic fields (see comments).

%C Differs from A023680 in that 1957, 2777, 3981, 5744, 6224, 6809, 7053, 7537, 8069, 8468, 8789, 9301, 9909, 10273, 10889, 11197 11324, 11344, 11348, representing fields with no subfield, are not included here. [_R. J. Mathar_, May 31 2010]

%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 H. Cohen, F. Diaz y Diaz, and M. Olivier, <a href="http://dx.doi.org/10.1090/S0025-5718-02-01452-7">Constructing complete Kummer tables of quartic fields using Kummer theory</a>, Math. Comp. 72 (242) (2003) 941-951

%H H. J. Godwin, <a href="http://dx.doi.org/10.1112/jlms/s1-31.4.478">Real quartic fields with small discriminant</a>, J. Lond. Math. Soc. s1-31 (1956) 478-485

%H H. J. Godwin, <a href="/A002769/a002769.pdf">Real quartic fields with small discriminant</a>, J. Lond. Math. Soc. s1-31 (1956) 478-485 [Annotated scanned copy]

%Y Cf. A023680.

%K nonn,nice

%O 1,1

%A _N. J. A. Sloane_

%E More terms from _R. J. Mathar_, May 31 2010

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Last modified August 17 15:35 EDT 2022. Contains 356189 sequences. (Running on oeis4.)