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%I #2 Mar 31 2012 12:38:36
%S 399,561,651,957,1173,2919,3009,3441,3567,3657,3783,4233,4539,7347,
%T 8445,9093,9741,12747,13827,14745,14817,17913,18471,19767,21351,23727,
%U 25761,25995,26553,26697,28407,34113,34743,35697,36543,36579,38145,40161
%N Numbers that are the product of 3 distinct primes a,b and c, such that a+b+c, a^2+b^2+c^2 and a^3+b^3+c^3 are prime numbers.
%C 399=3*7*19; 3+7+19=29; 3^2+7^2+19^2=419; 3^3+7^3+19^3=7229,..
%t lst={};Do[If[l[n]=={1,1,1},a=f[n][[1]];b=f[n][[2]];c=f[n][[3]];If[PrimeQ[a+b+c]&&PrimeQ[a^2+b^2+c^2]&&PrimeQ[a^3+b^3+c^3],AppendTo[lst,n]]],{n,9!}];lst
%Y Cf. A006881, A014574, A176875, A176876, A176877, A176878, A176879
%K nonn
%O 1,1
%A _Vladimir Joseph Stephan Orlovsky_, Apr 28 2010
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