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

725, 1125, 1600, 2000, 2048, 2225, 2304, 2525, 2624, 3600, 4205, 4225, 4352, 4400, 4525, 4752, 4913, 5125, 5225, 5725, 6125, 7056, 7168, 7225, 7232, 7488, 7600, 7625, 8000, 8112, 8525, 8725, 8768, 8957, 9225, 9248, 9792, 10025, 10304, 10309, 10512

Offset

1,1

Comments

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]

References

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

Table of n, a(n) for n=1..41.

H. Cohen, F. Diaz y Diaz, and M. Olivier, Constructing complete Kummer tables of quartic fields using Kummer theory, Math. Comp. 72 (242) (2003) 941-951

H. J. Godwin, Real quartic fields with small discriminant, J. Lond. Math. Soc. s1-31 (1956) 478-485

H. J. Godwin, Real quartic fields with small discriminant, J. Lond. Math. Soc. s1-31 (1956) 478-485 [Annotated scanned copy]

Crossrefs

Cf. A023680.

Sequence in context: A248484 A247894 A023680 * A252617 A216618 A185527

Adjacent sequences: A002766 A002767 A002768 * A002770 A002771 A002772

Keyword

nonn,nice

Author

N. J. A. Sloane

Extensions

More terms from R. J. Mathar, May 31 2010

Status

approved