

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
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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



