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A066516 Numbers n such that f(sigma(n)) = EulerPhi(n), where f is the prime gaps function given by f(m) = p(m+1)-p(m) and p(m) denotes the m-th prime. +0
1
1, 4, 5, 15, 18, 30, 36 (list; graph; listen)
OFFSET

1,2

EXAMPLE

f(sigma(4)) = f(7) = p(8)-p(7) = 19-17 = 2 = EulerPhi(4).

MATHEMATICA

f[x_] := Prime[x + 1] - Prime[x]; Select[Range[1, 10^5], f[DivisorSigma[1, # ]] == EulerPhi[ # ] &]

CROSSREFS

Sequence in context: A041857 A041034 A042535 this_sequence A047184 A002509 A100234

Adjacent sequences: A066513 A066514 A066515 this_sequence A066517 A066518 A066519

KEYWORD

nonn

AUTHOR

Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Jan 04 2002

EXTENSIONS

No more terms below 10^6 - Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 05 2002

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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