A115470
Number of monic irreducible polynomials of degree n in GF(7)[x,y,z].
Original entry on oeis.org
1, 399, 46999008, 13298692239252000, 63136448705623545160948964421, 35264602300404206685041451956188035401663992320, 16221242274790612130617584913704674310807122672141590345443070217889312
Offset: 0
- 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.
A115471
Number of monic irreducible polynomials of degree n in GF(7)[x1,x2,x3,x4].
Original entry on oeis.org
1, 2800, 791256327456, 63136448710941913967813221600, 23917266934978072380933845882599985470951536677947182256755
Offset: 0
- 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.
A115472
Number of monic irreducible polynomials of degree n in GF(7)[x1,x2,x3,x4,x5].
Original entry on oeis.org
1, 19607, 93090977154967365, 35264602300404231939621558472618564737091095360, 5060597439447658829626913883473719626980805160390472618010906865462338153969428645843757564540589437993663
Offset: 0
- 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.
A115473
Number of monic irreducible polynomials of degree 2 in GF(2)[x1,...,xn].
Original entry on oeis.org
1, 35, 903, 32271, 2095135, 268427327, 68719444095, 35184371958015, 36028797018440191, 73786976294836110335, 302231454903657285289983, 2475880078570760549764698111, 40564819207303340847894368362495
Offset: 1
A115474
Number of monic irreducible polynomials of degree 3 in GF(2)[x1,...,xn].
Original entry on oeis.org
2, 694, 1034350, 34358732510, 72057593905890750, 19342813113834032704678782, 1329227995784915872903789536819304190, 46768052394588893382517914646921038649775748460030
Offset: 1
A115475
Number of monic irreducible polynomials of degree 4 in GF(2)[x1,...,xn].
Original entry on oeis.org
3, 26089, 34343703541, 1180591619651753817965, 85070591730234615861304021242850041053, 1645504557321206042154969182557350502526198600140628912991334845
Offset: 1
A115476
Number of monic irreducible polynomials of degree 5 in GF(2)[x1,...,xn].
Original entry on oeis.org
6, 1862994, 72057077817486762, 85070591730234579267502316804666675034, 7237005577332262213973186563042994235469926762597754302088290406498628562618
Offset: 1
A115477
Number of monic irreducible polynomials of degree 2 in GF(3)[x1,...,xn].
Original entry on oeis.org
3, 273, 28704, 7167072, 5230110171, 11438395629609, 75047317643118720, 1477156353275368421760, 87224605504560089099737203, 15451577191316306180956398269313, 8211601634130329073115733865050935584
Offset: 1
A115479
Number of monic irreducible polynomials of degree 4 in GF(3)[x1,...,xn].
Original entry on oeis.org
18, 6778629, 25015702424562603, 1251577752496617773723676099629193, 655010254318810176195604047856155787712898209939105520303339
Offset: 1
A115480
Number of monic irreducible polynomials of degree 5 in GF(3)[x1,...,xn].
Original entry on oeis.org
48, 5132148528, 261673815513000717140575872, 655010254318810176195603896415342984711897764371763012689776
Offset: 1