Search: id:A134615
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%I A134615
%S A134615 707265,1922816,2284389
%N A134615 Numbers (excluding primes and powers of primes) such that the cube mean 
               of their prime factors is a prime (where the cube mean of c and d 
               is ((c^3+d^3)/2)^(1/3)).
%C A134615 Numbers included in A134612, but not in A025475.
%C A134615 a(0)=707265 is the minimal number with this property. a(2)=2284389 is 
               the greatest such number <10^7.
%e A134615 a(0)=707265, since 707265=3*3*3*5*13*13*31 and ((3*3^3+5^3+2*13^3+31^3)/
               7)^(1/3)=4913^(1/3)=17.
%Y A134615 Cf. A001597, A025475, A134333, A134344, A134376.
%Y A134615 Cf. A134600, A134602, A134605, A134608, A134613, A134617, A134619, A134621.
%Y A134615 Sequence in context: A114676 A027829 A140943 this_sequence A083613 A083614 
               A114675
%Y A134615 Adjacent sequences: A134612 A134613 A134614 this_sequence A134616 A134617 
               A134618
%K A134615 nonn,bref
%O A134615 1,1
%A A134615 Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Nov 11 2007

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