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A047829
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Becomes prime after exactly 10 iterations of f(x) = sum of prime factors of x.
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0
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167073, 212438, 424876, 480226, 492494, 501219, 567614, 595942, 656714, 668319, 670465, 688958, 723853, 738662, 743973, 768817, 791842, 804558, 849752, 849818, 864074, 887613, 888542, 960452, 975662, 984988, 1012786, 1037845, 1048574
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OFFSET
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1,1
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COMMENTS
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f(x) = sum of prime factors without multiplicity, so that f(1500) = 2+3+5 = 10.
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LINKS
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MATHEMATICA
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spf10Q[n_]:=Boole[PrimeQ[NestList[Total[FactorInteger[#][[All, 1]]]&, n, 10]]] == {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}; Select[Range[105*10^4], spf10Q] (* Harvey P. Dale, Aug 04 2021 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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