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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. 0
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 (list; graph; refs; listen; history; text; internal format)
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: A274446 A253598 A046013 * A202158 A126231 A158317

Adjacent sequences:  A176908 A176909 A176910 * A176912 A176913 A176914

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Apr 28 2010

STATUS

approved

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Last modified June 25 19:53 EDT 2017. Contains 288729 sequences.