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A078168
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phi[n] is a perfect 8th power.
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8
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1, 2, 257, 512, 514, 544, 640, 680, 768, 816, 960, 1020, 65537, 131072, 131074, 131584, 139264, 139808, 163840, 164480, 174080, 174760, 196608, 197376, 208896, 209712, 245760, 246720, 261120, 262140, 1682227, 1683109, 1683559, 1683937
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| phi of the sequence includes 1,256,65536,1679616, etc.; powers arise several times; a(3)=A053576[7]=257; in sequence smoother ranges and quite large jumps arise when power of new numbers appear as phi-values.
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MATHEMATICA
| k=8; Do[s=EulerPhi[n]^(1/k); If[IntegerQ[s], Print[n]], {n, 1, 10000000}]
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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: A067480 A062077 A190539 * A003380 A060890 A085316
Adjacent sequences: A078165 A078166 A078167 * A078169 A078170 A078171
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Nov 27 2002
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