login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A179665 p^9 with p prime. 14

%I

%S 512,19683,1953125,40353607,2357947691,10604499373,118587876497,

%T 322687697779,1801152661463,14507145975869,26439622160671,

%U 129961739795077,327381934393961,502592611936843,1119130473102767

%N p^9 with p prime.

%C Solutions of the equation n' = 9*n^(8/9), where n' is the arithmetic derivative of n. - _Paolo P. Lava_, Oct 31 2012

%H T. D. Noe, <a href="/A179665/b179665.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>

%F a(n) = A000040(n)^9 = A001017(A000040(n)). - _Wesley Ivan Hurt_, Mar 27 2014

%e a(1) = 512 since the ninth power of the first prime is 2^9 = 512. - _Wesley Ivan Hurt_, Mar 27 2014

%p A179665:=n->ithprime(n)^9; seq(A179665(n), n=1..30); # _Wesley Ivan Hurt_, Mar 27 2014

%t Array[Prime[ # ]^9&, 30]

%o (PARI) a(n)=prime(n)^9 \\ _Charles R Greathouse IV_, Jul 20 2011

%o (MAGMA) [p^9: p in PrimesUpTo(300)]; // _Vincenzo Librandi_, Mar 27 2014

%Y Cf. A006881, A007304, A065036, A085986, A085987, A092759, A178739, A179642, A179643, A179644, A179645, A179646, A179664.

%K nonn,easy

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Jul 23 2010

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 13 07:13 EST 2019. Contains 329085 sequences. (Running on oeis4.)