A055929 Euler totient function of the factorial of prime(n).

1, 2, 32, 1152, 8294400, 1194393600, 64210599936000, 20804234379264000, 4229084764616785920000, 1396531754239566739931136000000, 1256878578815610065938022400000000, 2046959290878571310305421983481856000000000, 4853749870531268290996216607232176947200000000000

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..87

Formula

a(n) = phi(prime(n)!) = A000010(A039716(n)) = A048855(prime(n)).

Mathematica

a[n_] := EulerPhi[Prime[n]!]; Array[a, 12] (* Amiram Eldar, Jun 03 2024 *)

Prog

(PARI) a(n) = eulerphi(prime(n)!); \\ Amiram Eldar, Jun 03 2024

Crossrefs

Cf. A000010, A000142, A039716, A048855.

Sequence in context: A282835 A012198 A012114 * A012237 A012093 A012214

Adjacent sequences: A055926 A055927 A055928 * A055930 A055931 A055932

Keyword

nonn

Author

Labos Elemer, Jul 17 2000

Extensions

a(12)-a(13) from Amiram Eldar, Jun 03 2024

Status

approved