|
| |
|
|
A179645
|
|
a(n) = prime(n)^8.
|
|
19
|
|
|
|
256, 6561, 390625, 5764801, 214358881, 815730721, 6975757441, 16983563041, 78310985281, 500246412961, 852891037441, 3512479453921, 7984925229121, 11688200277601, 23811286661761, 62259690411361, 146830437604321
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Solutions of the equation n' = 8*n^(7/8), where n' is the arithmetic derivative of n. - Paolo P. Lava, Oct 31 2012
|
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n = 1..1000
Will Nicholes, Prime Signatures
Index to sequences related to prime signature
|
|
|
FORMULA
|
a(n) = A000040(n)^8 = A001016(A000040(n)). - Wesley Ivan Hurt, Mar 27 2014
Sum_{n>=1} 1/a(n) = P(8) = 0.0040614053... (A085968). - Amiram Eldar, Jul 27 2020
|
|
|
EXAMPLE
|
a(1) = 256 since the eighth power of the first prime is 2^7 = 256. - Wesley Ivan Hurt, Mar 27 2014
|
|
|
MAPLE
|
A179645:=n->ithprime(n)^8; seq(A179645(n), n=1..40); # Wesley Ivan Hurt, Mar 27 2014
|
|
|
MATHEMATICA
|
Array[Prime[ # ]^8&, 40]
|
|
|
PROG
|
(PARI) a(n)=prime(n)^8 \\ Charles R Greathouse IV, Jul 20 2011
(MAGMA) [p^8: p in PrimesUpTo(300)]; // Vincenzo Librandi, Mar 27 2014
|
|
|
CROSSREFS
|
Cf. A000040, A001016, A085968.
Sequence in context: A001016 A050755 A046457 * A056585 A321818 A231307
Adjacent sequences: A179642 A179643 A179644 * A179646 A179647 A179648
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
Vladimir Joseph Stephan Orlovsky, Jul 21 2010
|
|
|
STATUS
|
approved
|
| |
|
|
