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A329522
Composite numbers whose sum of digits is not composite.
0
10, 12, 14, 16, 20, 21, 25, 30, 32, 34, 38, 49, 50, 52, 56, 58, 65, 70, 74, 76, 85, 92, 94, 98, 100, 102, 104, 106, 110, 111, 115, 119, 120, 122, 124, 128, 133, 140, 142, 146, 148, 155, 160, 164, 166, 175, 182, 184, 188, 200, 201, 203, 205, 209, 210, 212, 214, 218, 221, 230
OFFSET
1,1
MATHEMATICA
Select[Rest@ Complement[#, Prime@ Range@ PrimePi@ Max@ #] &@ Range@ 230, ! CompositeQ@ Total@ IntegerDigits@ # &] (* Michael De Vlieger, Nov 15 2019 *)
Select[Range[250], CompositeQ[#]&&!CompositeQ[Total[IntegerDigits[#]]]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jun 19 2021 *)
PROG
(PARI) lista(nn) = forcomposite(c=1, nn, my(s=sumdigits(c)); if ((s==1) || isprime(s), print1(c, ", "))); \\ Michel Marcus, Nov 15 2019
(Magma) [k:k in [2..230]| not IsPrime(k) and (IsPrime(&+Intseq(k)) or &+Intseq(k) eq 1) ]; // Marius A. Burtea, Feb 05 2020
CROSSREFS
KEYWORD
nonn,base,easy
AUTHOR
Ali Adams, Nov 15 2019
STATUS
approved