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A352584
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Numbers k whose decimal representation contains all distinct prime factors of k as substrings.
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1
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2, 3, 5, 7, 11, 13, 17, 19, 23, 25, 29, 31, 32, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 125, 127, 128, 131, 135, 137, 139, 149, 151, 157, 163, 167, 173, 175, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 243, 250
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OFFSET
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1,1
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COMMENTS
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LINKS
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MATHEMATICA
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str[n_]:=ToString/@First/@FactorInteger[n];
fQ[n_]:=Union[Table[StringContainsQ[ToString[n], str[n][[i]]], {i, Length[str[n]]}]]=={True}; Select[Range[2, 1000], fQ]
dpfQ[n_]:=Union[SequenceCount[IntegerDigits[n], IntegerDigits[#]]&/@(FactorInteger[n][[;; , 1]])] == {1}; Select[Range[2, 300], dpfQ] (* Harvey P. Dale, May 30 2023 *)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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