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A101697 Numbers n such that phi(n) is equal to d_1!+d_2!+...+d_k!, where d_1 d_2 ... d_k is the decimal expansion of n. 3

%I #3 Mar 30 2012 17:37:42

%S 1,67585,84466,854696

%N Numbers n such that phi(n) is equal to d_1!+d_2!+...+d_k!, where d_1 d_2 ... d_k is the decimal expansion of n.

%e 854696 is in the sequence because phi(854696)=8!+5!+4!+6!+9!+6!.

%t Do[h = IntegerDigits[n]; l = Length[h]; If[EulerPhi[n] == Sum[h[[k]]!, {k, l}], Print[n]], {n, 10000000}]

%Y Cf. A100416.

%K base,fini,full,nonn

%O 1,2

%A _Farideh Firoozbakht_, Dec 12 2004

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)