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A092901 Number of irregular primes (A000928) less than 10^n. 0
0, 3, 64, 497, 3789, 30870, 261871, 2266482 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Buhler maintains a list of regular and irregular primes. Data about each irregular prime includes the index of irregularity, irregular pairs, Vandiver residue and two cyclotomic residues.

Corrected using latest data from Buhler and Harvey. - T. D. Noe, Apr 27 2011

REFERENCES

J. Buhler, R. Crandall, R. Ernvall, T. Metsankyla and M. A. Shokrollahi, Irregular Primes and Cyclotomic Invariants to 12 Million, J. Symbolic Computation 31, 2001, 89-96.

LINKS

J. P. Buhler, Irregular primes less than 12,000,000 (FTP) [Broken]

Joe Buhler and David Harvey, Irregular primes to 163 million (arXiv:0912.2121)

Eric Weisstein's World of Mathematics, Irregular Prime

EXAMPLE

The smallest irregular prime is 37.

CROSSREFS

Cf. A000928.

Sequence in context: A053857 A175985 A037108 * A099338 A119924 A174841

Adjacent sequences:  A092898 A092899 A092900 * A092902 A092903 A092904

KEYWORD

nonn,more,hard

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Mar 13, 2004

EXTENSIONS

a(6) and a(7) from T. D. Noe (noe(AT)sspectra.com), Mar 31 2004

a(8) from T. D. Noe (noe(AT)sspectra.com), Apr 27 2011

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Last modified February 15 09:26 EST 2012. Contains 205753 sequences.