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Number of monic irreducible polynomials of degree n in GF(5)[x1,x2,x3,x4,x5].
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%I #15 Jun 09 2015 14:59:42

%S 1,3905,119209281920410,346944695195361418881919264813260396240,

%T 2938735877055718769921841343055614194546663890575052824338790458115908899263959376574600

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

%H Max Alekseyev, <a href="http://translate.google.com/translate?hl=en&amp;sl=ru&amp;tl=en&amp;u=http%3A%2F%2Fdxdy.ru%2Ftopic1165.html">Formula for the number of monic irreducible polynomials in a finite field</a>

%H Max Alekseyev, <a href="http://home.gwu.edu/~maxal/gpscripts/">PARI scripts for various problems</a>

%H J. von zur Gathen, K. Ziegler, <a href="http://arxiv.org/abs/1407.2970">Survey on counting special types of polynomials</a>, arXiv preprint arXiv:1407.2970, 2014

%H Konstantin Ziegler, <a href="http://hss.ulb.uni-bonn.de/2015/3981/3981.pdf">Counting Classes of Special Polynomials</a>, Doctoral Dissertation, University of Bonn, June 2014.

%Y Cf. A115457-A115505.

%K nonn

%O 0,2

%A _Max Alekseyev_, Jan 16 2006