|
Search: id:A005848
|
|
|
| A005848 |
|
Cyclotomic fields with class number 1 (or with unique factorization).
(Formerly M2304)
|
|
+0
2
|
|
| 1, 3, 4, 5, 7, 8, 9, 11, 12, 13, 15, 16, 17, 19, 20, 21, 24, 25, 27, 28, 32, 33, 35, 36, 40, 44, 45, 48, 60, 84
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Note that if n == 2 (mod 4) Q(zeta_n) is the same field as Q(zeta_{n/2}), so this sequence omits numbers that are 2 mod 4. - Yuval Dekel, Jun 07 2003
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
J. M. Masley, Where are the number fields with small class number?, pp. 221-242 of Number Theory Carbondale 1979, Lect. Notes Math. 751 (1982).
J. M. Masley and Hugh L. Montgomery, Cyclotomic fields with unique factorization, J. Reine Angew. Math. 286/287 (1976), 248-256.
P. Ribenboim, The Book of Prime Number Records. Springer-Verlag, NY, 2nd ed., 1989, p. 259.
Alf van der Poorten, Notes on Fermat's Last Theorem, Wiley, 1996, p. 14.
L. C. Washington, Introduction to Cyclotomic Fields, Springer, p. 353.
|
|
LINKS
|
M. Baake and U. Grimm, A note on shelling
|
|
CROSSREFS
|
Cf. A061653.
Sequence in context: A074227 A122906 A042965 this_sequence A039065 A139711 A081376
Adjacent sequences: A005845 A005846 A005847 this_sequence A005849 A005850 A005851
|
|
KEYWORD
|
fini,nonn,full,nice
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.004 seconds
|
