A115468 Number of monic irreducible polynomials of degree n in GF(5)[x1,x2,x3,x4,x5].

1, 3905, 119209281920410, 346944695195361418881919264813260396240, 2938735877055718769921841343055614194546663890575052824338790458115908899263959376574600

Offset

0,2

Links

Table of n, a(n) for n=0..4.

Max Alekseyev, Formula for the number of monic irreducible polynomials in a finite field

Max Alekseyev, PARI scripts for various problems

J. von zur Gathen, K. Ziegler, Survey on counting special types of polynomials, arXiv preprint arXiv:1407.2970, 2014

Konstantin Ziegler, Counting Classes of Special Polynomials, Doctoral Dissertation, University of Bonn, June 2014.

Crossrefs

Cf. A115457-A115505.

Sequence in context: A135202 A204147 A252138 * A066386 A326385 A068240

Adjacent sequences: A115465 A115466 A115467 * A115469 A115470 A115471

Keyword

nonn

Author

Max Alekseyev, Jan 16 2006

Status

approved