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 A230869 Primes p such that the class number h-tilde_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 (list; graph; refs; listen; history; text; internal format)
 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 h-tilde_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 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), 913-937. 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

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Last modified June 13 16:45 EDT 2021. Contains 345008 sequences. (Running on oeis4.)