A176911 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.

399, 561, 651, 957, 1173, 2919, 3009, 3441, 3567, 3657, 3783, 4233, 4539, 7347, 8445, 9093, 9741, 12747, 13827, 14745, 14817, 17913, 18471, 19767, 21351, 23727, 25761, 25995, 26553, 26697, 28407, 34113, 34743, 35697, 36543, 36579, 38145, 40161

Offset

1,1

Comments

399=3*7*19; 3+7+19=29; 3^2+7^2+19^2=419; 3^3+7^3+19^3=7229,..

Links

Table of n, a(n) for n=1..38.

Mathematica

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

Crossrefs

Cf. A006881, A014574, A176875, A176876, A176877, A176878, A176879

Sequence in context: A253598 A046013 A352360 * A202158 A126231 A158317

Adjacent sequences: A176908 A176909 A176910 * A176912 A176913 A176914

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Apr 28 2010

Status

approved