A006554 Minimal discriminant of totally real number field of degree n. (Formerly M4006)

1, 5, 49, 725, 14641, 300125, 20134393, 282300416, 9685993193

Offset

1,2

References

H. Hasse, Number Theory, Springer-Verlag, NY, 1980, p. 617.

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..9.

A. M. Odlyzko, Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions: A survey of recent results, Sem. Theorie des Nombres, Bordeaux, 2 (1990), pp. 119-141.

J. Voight, Enumeration of totally real number fields of bounded root discriminant, in A. J. van der Poorten and A. Stein, ANTS, LNCS 5011, Springer (2008), 268-281.

Index entries for sequences related to quadratic fields

Crossrefs

Sequence in context: A102773 A028575 A368438 * A052750 A145088 A301386

Adjacent sequences: A006551 A006552 A006553 * A006555 A006556 A006557

Keyword

nonn,nice

Author

N. J. A. Sloane

Extensions

a(9) from Voight paper added by Sean A. Irvine, May 09 2017

Status

approved