Search: id:A067184
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%I A067184
%S A067184 2,3,5,7,250,735,792,2500,4992,9075,11760,25000,30625,67914,91476,
%T A067184 117600,185625,187278,250000,264992,523908,630784,855360,1082565,
%U A067184 1176000,2395008,2500000,2546775,2898350,3608550,3833280,4299750
%N A067184 Numbers n such that sum of the squares of the prime factors of n equals 
               the sum of the squares of the digits of n.
%e A067184 The prime factors of 4992 are 2,3,13, the sum of whose squares = 182 
               = sum of the squares of 4,9,9,2; so 4992 is a term of the sequence.
%t A067184 f[n_] := Module[{a, l, t, r}, a = FactorInteger[n]; l = Length[a]; t 
               = Table[a[[i]][[1]], {i, 1, l}]; r = Sum[(t[[i]])^2, {i, 1, l}]]; 
               g[n_] := Module[{b, m, s}, b = IntegerDigits[n]; m = Length[b]; s 
               = Sum[(b[[i]])^2, {i, 1, m}]]; Select[Range[2, 10^5], f[ # ] == g[ 
               # ] &]
%Y A067184 Cf. A006753.
%Y A067184 Sequence in context: A029978 A122764 A064157 this_sequence A067170 A090719 
               A088297
%Y A067184 Adjacent sequences: A067181 A067182 A067183 this_sequence A067185 A067186 
               A067187
%K A067184 base,nonn
%O A067184 1,1
%A A067184 Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Feb 18 2002
%E A067184 a(16)-a(32) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 
               29 2009

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