OFFSET
1,2
COMMENTS
The sequence is not monotonic, for example a(18) < a(17).
Conjecture: there is no run of consecutive increasing terms with more than 17 terms.
LINKS
Stefano Spezia, Table of n, a(n) for n = 1..10000
FORMULA
a(n) = floor(n^(prime(n)/n)).
a(n) = floor(A062481(n)^(1/n)).
MAPLE
MATHEMATICA
a[n_]:=Floor[n^(Prime[n]/n)]; Array[a, 40]
PROG
(PARI) a(n) = sqrtnint(n^prime(n), n); \\ Michel Marcus, Mar 12 2020
vector(40, n, a(n))
CROSSREFS
KEYWORD
nonn
AUTHOR
Stefano Spezia, Aug 21 2018
STATUS
approved