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A064166
Composite numbers the sum of the digits in the prime factors of which, with repetition, is prime.
1
6, 10, 12, 28, 33, 39, 40, 45, 46, 48, 51, 54, 55, 56, 57, 58, 63, 66, 75, 80, 82, 85, 90, 91, 93, 94, 96, 102, 108, 111, 130, 133, 147, 154, 156, 159, 166, 172, 175, 177, 178, 182, 184, 190, 207, 210, 213, 217, 219, 220, 224, 226, 228, 232, 237, 238, 244, 245
OFFSET
0,1
LINKS
EXAMPLE
220 is included because 220 = 2*2*5*11 and 2+2+5+1+1 = 11, which is prime.
MATHEMATICA
cnpQ[n_]:=CompositeQ[n]&&PrimeQ[Total[Flatten[IntegerDigits/@(Table[ #[[1]], #[[2]]]&/@FactorInteger[n])]]]; Select[Range[250], cnpQ] (* Harvey P. Dale, Sep 15 2016 *)
CROSSREFS
Sequence in context: A342648 A297620 A074924 * A373678 A107371 A340874
KEYWORD
nonn,base
AUTHOR
Harvey P. Dale, Sep 19 2001
STATUS
approved