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A078170 phi[n] is a perfect tenth power. +0
8
1, 2, 1285, 2048, 2056, 2176, 2560, 2570, 2720, 3072, 3084, 3264, 3840, 4080, 1114129, 2097152, 2097184, 2105344, 2228224, 2228258, 2236928, 2621440, 2621480, 2631680, 2785280, 2796160, 3145728, 3145776, 3158016, 3342336 (list; graph; listen)
OFFSET

1,2

EXAMPLE

phi of the sequence includes 1,1024,1048576,.. etc.; powers emerge several times; a(3)=A053576[10]=1285; in sequence smoother ranges and quite large jumps alternate when power of new numbers appear as phi-values.

MATHEMATICA

k=10; Do[s=EulerPhi[n]^(1/k); If[IntegerQ[s], Print[n]], {n, 1, 10000000}]

CROSSREFS

Cf. A039770[square], A039771[cube], A078164[4th], A078165[5th], A078166[6th], A078167[7th], A078168[8th], A078169[9th], A078170[10th power], A001317, A053576, A045544, A000010.

Sequence in context: A036104 A036106 A160003 this_sequence A062663 A020526 A094477

Adjacent sequences: A078167 A078168 A078169 this_sequence A078171 A078172 A078173

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Nov 27 2002

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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