A308164 a(n) is the number of irreducible element forms for Z/pZ, with p = prime(n).

2, 4, 23, 108, 1398, 4367, 33321, 84544, 465774

Offset

1,1

Links

Table of n, a(n) for n=1..9.

D. D. Anderson and Andrea M. Frazier, On a general theory of factorization in integral domains, Rocky Mountain J. Math., Volume 41, Number 3 (2011), 663-705. See pp. 698, 699, 702.

André Hernández-Espiet, Reyes M. Ortiz-Albino, On the Characterization of tau(n)-Atoms, arXiv:1905.02834 [math.NT], 2019. See Table 2, p. 14.

André Hernández-Espiet, Reyes M. Ortiz-Albino, Example for n = 7 (U'(7)), m = 2 (Z/3Z), 2019 (included with the permission of the authors).

James Lanterman, Irreducibles in the Integers modulo n, arXiv:1210.2991 [math.NT], 2012.

Example

For n=2, i.e. p=3, there are 4 tau2-atoms that are 1, 2, 0, and 1 + 2, in Z/3Z. See Example link.

Crossrefs

Cf. A039956 (tau2-primes), A005117 (tau2-atoms).

Sequence in context: A307459 A133834 A203103 * A173352 A366224 A009313

Adjacent sequences: A308161 A308162 A308163 * A308165 A308166 A308167

Keyword

nonn,more

Author

Michel Marcus, May 15 2019

Status

approved