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A005848
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Cyclotomic fields with class number 1 (or with unique factorization).
(Formerly M2304)
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2
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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; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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
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REFERENCES
| 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.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Alf van der Poorten, Notes on Fermat's Last Theorem, Wiley, 1996, p. 14.
L. C. Washington, Introduction to Cyclotomic Fields, Springer, p. 353.
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LINKS
| M. Baake and U. Grimm, A note on shelling
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CROSSREFS
| Cf. A061653.
Sequence in context: A074227 A122906 A042965 * A187885 A039065 A139711
Adjacent sequences: A005845 A005846 A005847 * A005849 A005850 A005851
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KEYWORD
| fini,nonn,full,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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