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A081398 Number of common prime factors of sigma[n] and phi[n] is exactly six(ignoring multiplicity). +0
1
2003639, 2179316, 2180057, 2382974, 2689561, 2720567, 2761873, 2933675, 3145572, 3435381, 4007278, 4137111, 4212692, 4360114, 4947971, 5172881, 5379122, 5441134, 5458673 (list; graph; listen)
OFFSET

1,1

EXAMPLE

n=400:sigma[n]=6846840=2.2.2.3.3.5.7.11.13.19, phi[n]=1755600=2.2.2.2.3.5.5.7.11.19, common prime set={2,3,5,7,11,19} with six primes

MATHEMATICA

ffi[x_] := Flatten[FactorInteger[x]] lf[x_] := Length[FactorInteger[x]] ba[x_] := Table[ffi[x][[2*w - 1]], {w, 1, lf[x]}] Do[s=Length[Intersection[ba[EulerPhi[n]], ba[DivisorSigma[1, n]]]]; If[Greater[s, 5], than Print[{n, s}]], {n, 1, 10000000}]

CROSSREFS

Cf. A000010, A000203, A081383, A081397, A002110.

Sequence in context: A017457 A017589 A067454 this_sequence A022226 A032754 A104441

Adjacent sequences: A081395 A081396 A081397 this_sequence A081399 A081400 A081401

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Mar 28 2003

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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