

A139308


Lucky numbers that are pure powers with power greater than 2.


0



729, 2187, 29791, 50625, 50653, 83521, 130321, 132651, 166375, 185193, 226981, 300763, 707281, 804357, 823543, 1295029, 1860867, 1874161, 2685619, 3176523, 4782969, 5545233, 5764801, 7189057, 9393931, 12977875, 13845841, 16194277
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..28.


EXAMPLE

a(1) = 729 = 3^6 and 729 is lucky, i.e., A000959(118) = 729.


MATHEMATICA

t = 2 Range@ 10000000  1; f[n_] := Block[{k = t[[n]]}, t = Delete[t, Table[{k}, {k, k, Length@t, k}]]]; Do[f@n, {n, 2, 1000000}]; fQ[n_] := ! IntegerQ@ Log[2, n] && GCD @@ Last /@ FactorInteger@n > 2; Select[t, fQ] (* Robert G. Wilson v, Oct 16 2010 *)


CROSSREFS

Cf. A000959, A031162.
Sequence in context: A232925 A255112 A255627 * A295024 A167728 A050220
Adjacent sequences: A139305 A139306 A139307 * A139309 A139310 A139311


KEYWORD

nonn


AUTHOR

Walter Kehowski, Jun 07 2008


EXTENSIONS

a(16)a(29) from Robert G. Wilson v, Oct 16 2010


STATUS

approved



