A062481 a(n) = n^prime(n).
1, 8, 243, 16384, 48828125, 13060694016, 232630513987207, 144115188075855872, 8862938119652501095929, 100000000000000000000000000000, 191943424957750480504146841291811, 8505622499821102144576131684114829934592, 4695452425098908797088971409337422035076128813
Offset: 1
Links
- Harry J. Smith, Table of n, a(n) for n = 1..50
Programs
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Mathematica
Table[n^Prime[n],{n,20}] (* Harvey P. Dale, Jun 12 2014 *) -
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
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
Extensions
More terms from Harvey P. Dale, Jun 12 2014