

A230869


Primes p such that the class number htilde_p^{+} of the real cyclotomic field Q(zeta_p + zeta_p^(1)) is greater than 1.


1



163, 191, 229, 257, 277, 313, 349, 397, 401, 457, 491, 521, 547, 577, 607, 631, 641, 709, 733, 761, 821, 827, 829, 853, 857, 877, 937, 941, 953, 977, 1009, 1063, 1069, 1093, 1129, 1153, 1229, 1231, 1297, 1373, 1381, 1399, 1429, 1459, 1489, 1567, 1601, 1697, 1699, 1777, 1789, 1831, 1861, 1873, 1879, 1889, 1901, 1951
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OFFSET

1,1


COMMENTS

Taken from the "Main Table" of Schoof.
There is a very slight chance that some primes are missing. In the unlikely event that the number that Schoof calls htilde_p is 1, while the actual class number h_p is actually not equal to 1, the prime p would be missing (see the Schoof and Miller articles for details).


LINKS

Table of n, a(n) for n=1..58.
John C. Miller, Class numbers of totally real fields and applications to the Weber class number problem, arXiv:1405.1094 [math.NT], 2014.
John C. Miller, Real cyclotomic fields of prime conductor and their class numbers, arXiv:1407.2373 [math.NT], 2014.
Rene Schoof, Class numbers of real cyclotomic fields of prime conductor, Math. Comp., 72 (2002), 913937.


CROSSREFS

Cf. A230870 (for the actual class numbers).
See also A000927, A055513, A035113, A035114, A035115.
Sequence in context: A057604 A243532 A272984 * A132250 A303379 A142940
Adjacent sequences: A230866 A230867 A230868 * A230870 A230871 A230872


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Nov 06 2013


STATUS

approved



