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A092759 a(n) = prime(n)^7. 19
128, 2187, 78125, 823543, 19487171, 62748517, 410338673, 893871739, 3404825447, 17249876309, 27512614111, 94931877133, 194754273881, 271818611107, 506623120463, 1174711139837, 2488651484819, 3142742836021, 6060711605323 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Solutions of the equation n' = 7*n^(6/7), where n' is the arithmetic derivative of n. - Paolo P. Lava , Oct 31 2012

Seventh powers of prime numbers. - Wesley Ivan Hurt, Mar 27 2014

LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000

Index to sequences related to prime signature

FORMULA

a(n) = A086874(n-1), n>1. - R. J. Mathar, Sep 08 2008

a(n) = A000040(n)^7 = A001015(A000040(n)). - Wesley Ivan Hurt, Mar 27 2014

EXAMPLE

a(1) = 128 since the seventh power of the first prime is 2^7 = 128. - Wesley Ivan Hurt, Mar 27 2014

MAPLE

A092759:=n->ithprime(n)^7; seq(A092759(n), n=1..30); # Wesley Ivan Hurt, Mar 27 2014

MATHEMATICA

Array[Prime[ # ]^7 &, 30] (* Vladimir Joseph Stephan Orlovsky, May 01 2008 *)

Table[Prime[n]^7, {n, 30}] (* Wesley Ivan Hurt, Mar 27 2014 *)

PROG

(PARI) a(n)=prime(n)^7 \\ Charles R Greathouse IV, Jul 20 2011

(MAGMA) [p^7: p in PrimesUpTo(300)]; // Vincenzo Librandi, Mar 27 2014

CROSSREFS

Subsequence of A030626.

Sequence in context: A050754 A113852 A046456 * A056574 A096961 A231306

Adjacent sequences:  A092756 A092757 A092758 * A092760 A092761 A092762

KEYWORD

nonn,easy

AUTHOR

Jorge Coveiro (jorgecoveiro(AT)yahoo.com), Apr 13 2004

STATUS

approved

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Last modified September 26 05:09 EDT 2017. Contains 292502 sequences.