

A060975


Irregular primes with irregularity index three.


11



491, 617, 647, 1151, 1217, 1811, 1847, 2939, 3833, 4003, 4657, 4951, 6763, 7687, 8831, 9011, 10463, 10589, 12073, 13217, 14533, 14737, 14957, 15287, 15787, 15823, 16007, 17681, 17863, 18713, 18869, 20533, 20939, 24019, 24659, 25153, 26561
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OFFSET

1,1


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, 8996.


LINKS

T. D. Noe, Table of n, a(n) for n=1..9824 (from Buhler et al)
Bernoulli numbers, irregularity index of primes


MATHEMATICA

Do[p = Prime[n]; k = 1; c = 0; While[ 2*k < p  3, If[ Mod[ Numerator[ BernoulliB[2*k]], p] == 0, c++ ]; k++ ]; If[ c == 3, Print[p]], {n, 3, 1000} ]
Do[p = Prime@n; k = 1; c = 0; While[ 2*k < p  3, If[ Mod[ Numerator[ BernoulliB[2*k]], p] == 0, c++ ]; k++ ]; If[ c == 3, Print@p], {n, 3, 13887} ]


CROSSREFS

Cf. A000928, A000367, A060974, A060975, A073276 and A073277.
Sequence in context: A056936 A056052 A051115 * A180457 A082079 A217118
Adjacent sequences: A060972 A060973 A060974 * A060976 A060977 A060978


KEYWORD

nonn


AUTHOR

Robert G. Wilson v, Jul 22 2002, extended Sep 20 2006


STATUS

approved



