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A093872
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Least composite number with sum of the prime divisors = n, or zero if no such number exists.
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1
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0, 4, 9, 0, 6, 0, 10, 15, 14, 21, 121, 35, 22, 33, 26, 39, 210, 65, 34, 51, 38, 57, 273, 95, 46, 69, 285, 115, 399, 161, 58, 87, 62, 93, 741, 155, 435, 217, 74, 111, 651, 185, 82, 123, 86, 129, 777, 215, 94, 141, 645, 235, 903, 329, 106, 159, 987, 265, 1645, 371, 118
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OFFSET
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1,2
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LINKS
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MATHEMATICA
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sopf[n_] := Plus @@ First @ Transpose @ FactorInteger[n]; m = 100; seq = Table[0, {m}]; c = 0; n = 4; While[c < m - 3, If[CompositeQ[n], s = sopf[n]; If[s <= m && seq[[s]] == 0, c++; seq[[s]] = n]]; n++]; seq (* Amiram Eldar, Feb 23 2020 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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