A027741 Number of primitive polynomials of degree n over GF(5).

1, 2, 4, 20, 48, 280, 720, 5580, 14976, 99360, 291200, 2219460, 5184000, 46950120, 139991040, 876960000, 2752708608, 22384531584, 55435726080, 499226178000, 1280348160000, 10957459615200, 34031246515200, 259121741860800, 630789120000000, 5255180000000000

Offset

0,2

Links

Andrew Howroyd, Table of n, a(n) for n = 0..100

Maple

with(numtheory): seq(`if`(n=0, 1, phi(5^n-1)/n), n=0..25);

Mathematica

Join[{1}, Array[EulerPhi[5^# - 1]/# &, 25]] (* Paolo Xausa, Jun 17 2024 *)

Prog

(PARI) a(n) = if(n==0, 1, eulerphi(5^n-1)/n) \\ Andrew Howroyd, Feb 01 2024

Crossrefs

Column k=5 of A369291.

Sequence in context: A332626 A052004 A353342 * A137697 A192380 A009336

Adjacent sequences: A027738 A027739 A027740 * A027742 A027743 A027744

Keyword

nonn

Author

N. J. A. Sloane

Extensions

a(23) onwards from Andrew Howroyd, Feb 01 2024

Status

approved