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A114130 Numbers whose factorization involves only prime exponents, all different, and no number appears both as an exponent and as a prime factor. 1
8, 9, 25, 32, 49, 121, 125, 128, 169, 243, 289, 343, 361, 529, 841, 961, 1331, 1369, 1681, 1849, 2048, 2187, 2197, 2209, 2809, 3481, 3721, 4489, 4913, 5041, 5329, 6125, 6241, 6859, 6889, 7921, 8192, 8575, 9409, 10201, 10609, 10976, 11449, 11881, 11907 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..560

MATHEMATICA

pedQ[n_]:=Module[{fi=Transpose[FactorInteger[n]], a, b}, a=fi[[1]]; b = fi[[2]]; AllTrue[b, PrimeQ]&&Length[b]==Length[Union[b]]&&Intersection[ a, b]=={}]; Select[Range[12000], pedQ] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jan 24 2015 *)

CROSSREFS

Sequence in context: A124438 A124184 A062307 * A130100 A226230 A258400

Adjacent sequences:  A114127 A114128 A114129 * A114131 A114132 A114133

KEYWORD

nonn

AUTHOR

Jon Wild, Feb 14 2006

STATUS

approved

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Last modified September 19 23:31 EDT 2019. Contains 327207 sequences. (Running on oeis4.)