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A092585 Numbers n such that sigma[phi(n)]-phi[sigma(n)] is nonzero and is divisible by (n-1), that is A065395[n]/(n-1)=phi[sigma(n)]-sigma[phi(n)]/(n-1) is a nonzero integer. +0
2
2, 4, 16, 64, 151, 449, 3403, 4096, 4267, 9307, 35905, 65536, 247285, 262144, 17625601, 33126625 (list; graph; listen)
OFFSET

1,1

EXAMPLE

sigma(phi(x))-phi(sigma(x))/(x-1) is -1 if x=2,4,16,64,4096,65536,262144 and is 2 if x=151,449,3403, etc.

MATHEMATICA

f[ x_] := EulerPhi[ DivisorSigma[1, x]] - DivisorSigma[1, EulerPhi[x]]; t = {}; Do[ s = f[n]; If[ s != 0 && Mod[ s, n - 1] == 0, Print[n]; AppendTo[t, n], {n, 2*10^8}]; t

CROSSREFS

Cf. A033632, A092584-A092588, A065395.

Sequence in context: A138871 A001901 A127588 this_sequence A106186 A001900 A113247

Adjacent sequences: A092582 A092583 A092584 this_sequence A092586 A092587 A092588

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Mar 01 2004

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com) Mar 03 2004

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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