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A113850 Numbers whose prime factors are raised to the fifth power. 1
32, 243, 3125, 7776, 16807, 100000, 161051, 371293, 537824, 759375, 1419857, 2476099, 4084101, 5153632, 6436343, 11881376, 20511149, 24300000, 28629151, 39135393, 45435424, 52521875, 69343957, 79235168, 90224199, 115856201 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,1

LINKS

Table of n, a(n) for n=4..29.

EXAMPLE

7776 = 32*243 = 2^5*3^5 so the prime factors, 2 and 3, are raised to the fifth power.

MATHEMATICA

Select[ Range@41^5, Union[Last /@ FactorInteger@# ] == {5} &] (* Robert G. Wilson v *)

PROG

(PARI) allpwrfact(n, p) = \All prime factors are raised to the power p { local(x, j, ln, y, flag); for(x=4, n, y=Vec(factor(x)); ln = length(y[1]); flag=0; for(j=1, ln, if(y[2][j]==p, flag++); ); if(flag==ln, print1(x", ")); ) }

CROSSREFS

Proper subset of A000584.

Sequence in context: A000584 A050752 A153159 * A046454 A050997 A056572

Adjacent sequences:  A113847 A113848 A113849 * A113851 A113852 A113853

KEYWORD

easy,nonn

AUTHOR

Cino Hilliard, Jan 25 2006

EXTENSIONS

More terms from Robert G. Wilson v, Jan 26 2006

STATUS

approved

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Last modified November 14 11:04 EST 2018. Contains 317182 sequences. (Running on oeis4.)