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 A179645 a(n) = prime(n)^8. 19

%I

%S 256,6561,390625,5764801,214358881,815730721,6975757441,16983563041,

%T 78310985281,500246412961,852891037441,3512479453921,7984925229121,

%U 11688200277601,23811286661761,62259690411361,146830437604321

%N a(n) = prime(n)^8.

%C Solutions of the equation n' = 8*n^(7/8), where n' is the arithmetic derivative of n. - _Paolo P. Lava_, Oct 31 2012

%H T. D. Noe, <a href="/A179645/b179645.txt">Table of n, a(n) for n = 1..1000</a>

%H Will Nicholes, <a href="http://willnicholes.com/math/primesiglist.htm">Prime Signatures</a>

%H <a href="/index/Pri#prime_signature">Index to sequences related to prime signature</a>

%F a(n) = A000040(n)^8 = A001016(A000040(n)). - _Wesley Ivan Hurt_, Mar 27 2014

%F Sum_{n>=1} 1/a(n) = P(8) = 0.0040614053... (A085968). - _Amiram Eldar_, Jul 27 2020

%e a(1) = 256 since the eighth power of the first prime is 2^7 = 256. - _Wesley Ivan Hurt_, Mar 27 2014

%p A179645:=n->ithprime(n)^8; seq(A179645(n), n=1..40); # _Wesley Ivan Hurt_, Mar 27 2014

%t Array[Prime[ # ]^8&, 40]

%o (PARI) a(n)=prime(n)^8 \\ _Charles R Greathouse IV_, Jul 20 2011

%o (MAGMA) [p^8: p in PrimesUpTo(300)]; // _Vincenzo Librandi_, Mar 27 2014

%Y Cf. A000040, A001016, A085968.

%K nonn,easy

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Jul 21 2010

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Last modified November 28 20:11 EST 2020. Contains 338752 sequences. (Running on oeis4.)