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A050997 Fifth powers of primes. 50
32, 243, 3125, 16807, 161051, 371293, 1419857, 2476099, 6436343, 20511149, 28629151, 69343957, 115856201, 147008443, 229345007, 418195493, 714924299, 844596301, 1350125107, 1804229351, 2073071593, 3077056399, 3939040643, 5584059449, 8587340257, 10510100501 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

n such that A062799(n) = 5.

A056595(a(n)) = 3. [Reinhard Zumkeller, Aug 15 2011]

Solutions of the equation n' = 5*n^(4/5), 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

Eric Weisstein's World of Mathematics, MathWorld: Prime Power

Index to sequences related to prime signature

MATHEMATICA

Array[Prime[ # ]^5 &, 30] (* Vladimir Joseph Stephan Orlovsky, May 01 2008 *)

PROG

(PARI) vector(66, n, prime(n)^5)

(MAGMA) [p^5: p in PrimesUpTo(300)]; // Vincenzo Librandi, Mar 27 2014

(Haskell)

a050997 = (^ 5) . a000040

a050997_list = map (^ 5) a000040_list

-- Reinhard Zumkeller, Jun 03 2015

CROSSREFS

Cf. A000040, A001248, A030078, A030514, A131992, A131993.

Cf. A258602.

Sequence in context: A153159 A113850 A046454 * A056572 A226098 A096960

Adjacent sequences:  A050994 A050995 A050996 * A050998 A050999 A051000

KEYWORD

nonn,easy

AUTHOR

Eric W. Weisstein

STATUS

approved

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Last modified December 13 15:03 EST 2018. Contains 318086 sequences. (Running on oeis4.)