%I
%S 2,2,6,10,14,22,26,34,38,46,58,62,74,82,86,94,106,118,122,134,142,146,
%T 158,166,178,194,202,206,214,218,226,254,262,274,278,298,302,314,326,
%U 334,346,358,362,382,386,394,398,422,446,454,458,466,478,482,502,514
%N a(1) = 2, a(n+1) = smallest positive integer divisible by the nth prime that also has a nontrivial common divisor with a(n).
%C Each term of the sequence is a solution of the equation sigma(x)=3*(xphi(x)) (*)  the proof is easy. Does there exist a solution of (*) which is not in the sequence?  _Farideh Firoozbakht_, Apr 22 2006
%F a(n) = 2*prime(n) for n>2.
%F a(n)=2*prime(n1) for n>2.  _Farideh Firoozbakht_, Apr 22 2006
%t Join[{2,2},2*Prime[Range[2,60]]] (* _Harvey P. Dale_, Feb 24 2013 *)
%K nonn,easy
%O 1,1
%A _Amarnath Murthy_, Oct 28 2002
%E Corrected and extended by _Dean Hickerson_, Jan 28 2003
