

A050997


Fifth powers of primes.


40



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
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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


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


CROSSREFS

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



