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A161854
Primes which are anagrams of cubes.
1
251, 433, 521, 1279, 1297, 1439, 1493, 2179, 2447, 2719, 2791, 2917, 2971, 3491, 4139, 4391, 4931, 5689, 5869, 7129, 7219, 9127, 9341, 9413, 9431, 9721, 12671, 12689, 12799, 12979, 15767, 16127, 16217, 16829, 17299, 17657, 17929, 18269
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OFFSET
1,1
LINKS
Harvey P. Dale,
Table of n, a(n) for n = 1..850
EXAMPLE
433 is a term because it is prime, and 343 (an anagram of 433) is a cube = 7^3.
MATHEMATICA
pacQ[n_]:=Module[{fd=FromDigits/@Permutations[IntegerDigits[n]], s3}, s3= Select[ fd, IntegerLength[ #] == IntegerLength[ n]&&IntegerQ[Surd[ #, 3]]&]; Length[s3]>0]; Select[Prime[Range[2100]], pacQ] (*
Harvey P. Dale
, Apr 04 2019 *)
CROSSREFS
Cf.
A000578
.
Sequence in context:
A271581
A142419
A364968
*
A234928
A142569
A142742
Adjacent sequences:
A161851
A161852
A161853
*
A161855
A161856
A161857
KEYWORD
nonn
,
base
AUTHOR
Claudio Meller
, Jun 20 2009
STATUS
approved