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A075865 Numbers n such that phi(n) = sigma(sum of distinct prime factors of n). 0

%I #9 Mar 01 2014 09:10:58

%S 18,20,52,57,70,381,426,543,1252,3027,4098,4612,6807,257799,302403,

%T 1583607,3272727,52859523,20402085927

%N Numbers n such that phi(n) = sigma(sum of distinct prime factors of n).

%e phi(52) = 24; sigma(sum of prime factors of 52) = sigma(15) = 24. Hence 52 belongs to the sequence.

%t Select[Range[2, 10^5], DivisorSigma[1, Apply[Plus, Transpose[FactorInteger[ # ]][[1]]]] == EulerPhi[ # ] &]

%Y Cf. A000010, A000203, A008472.

%K nonn

%O 1,1

%A _Joseph L. Pe_, Oct 15 2002

%E a(14)-a(18) from _Donovan Johnson_, Jun 06 2009

%E Name clarified, offset corrected, term a(19) added, _Donovan Johnson_, Mar 01 2014

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Last modified August 14 05:41 EDT 2024. Contains 375146 sequences. (Running on oeis4.)