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A135240 Numbers n such that phi(sigma(n))=2n. 2

%I #7 Sep 13 2018 09:31:36

%S 36,20575296

%N Numbers n such that phi(sigma(n))=2n.

%C No other terms below 10^10. - _Max Alekseyev_, Sep 25 2009

%C 6.5*10^12 < a(3) <= 180577942272000000. We also have phi(sigma(n)) = 3*n for n = 144982963520227123200 and phi(sigma(n)) = 4*n for n = 16310583396025551360000 thus these may not be the smallest such n. - _Giovanni Resta_, Sep 13 2018

%e phi(sigma(20575296))=phi(71238999)=41150592=2*20575296, so 20575296 is in the sequence.

%t Do[If[EulerPhi[DivisorSigma[1,n]]==2n,Print[n]],{n,350000000}]

%Y Cf. A071525, A135238, A135239.

%K bref,more,nonn

%O 1,1

%A _Farideh Firoozbakht_, Dec 26 2007

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)