A062481 a(n) = n^prime(n).

1, 8, 243, 16384, 48828125, 13060694016, 232630513987207, 144115188075855872, 8862938119652501095929, 100000000000000000000000000000, 191943424957750480504146841291811, 8505622499821102144576131684114829934592, 4695452425098908797088971409337422035076128813

Offset

1,2

Links

Harry J. Smith, Table of n, a(n) for n = 1..50

Formula

From Amiram Eldar, Nov 18 2020: (Start)

a(n) = n^A000040(n).

Sum_{n>=1} 1/a(n) = A096250. (End)

a(n) == n (mod prime(n)). [Fermat's little theorem] - Nicolas Bělohoubek, Jun 14 2022

Mathematica

Table[n^Prime[n], {n, 20}] (* Harvey P. Dale, Jun 12 2014 *)

Prog

(PARI) a(n)={n^prime(n)} \\ Harry J. Smith, Aug 08 2009
(Python)
from sympy import prime
def a(n): return n**prime(n)
print([a(n) for n in range(1, 14)]) # Michael S. Branicky, Jun 15 2022

Crossrefs

Cf. A000040, A000312, A051674, A096250.

Sequence in context: A115613 A209540 A085524 * A053089 A090241 A242196

Adjacent sequences: A062478 A062479 A062480 * A062482 A062483 A062484

Keyword

easy,nonn

Author

Labos Elemer, Jul 09 2001

Extensions

More terms from Harvey P. Dale, Jun 12 2014

Status

approved