A115467 Number of monic irreducible polynomials of degree n in GF(5)[x1,x2,x3,x4].

1, 780, 7629089160, 727595761412384191996240, 2117582368135750847670237999380338002646893205850, 2938735877055718769921841343055614192892832062416197386190308265258845498373735129547344

Offset

0,2

Links

Table of n, a(n) for n=0..5.

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: A292063 A250952 A139400 * A338877 A020231 A141390

Adjacent sequences: A115464 A115465 A115466 * A115468 A115469 A115470

Keyword

nonn

Author

Max Alekseyev, Jan 16 2006

Status

approved