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A074256
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Sum of factorials of digits of n equals sum of the primes from the smallest prime factor of n to the largest prime factor of n.
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0
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2, 242, 1323, 3200, 13050, 30000, 42432, 132300, 426205, 442244, 620425, 665353, 1261645, 1306254, 1453032, 1461363, 1523340, 1523466, 2025012, 2105334, 2134350, 2205102, 2613504, 2713421, 3005264, 3312400, 3314520, 3432000
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OFFSET
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0,1
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LINKS
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EXAMPLE
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242 = 2*11^2 and 2+3+5+7+11 = 28 and 2!+4!+2! = 28.
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MATHEMATICA
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okQ[n_]:=Module[{ifn=Transpose[FactorInteger[n]][[1]]}, Total[Prime[ Range[ PrimePi[ Min[ifn]], PrimePi[Max[ifn]]]]]==Total[IntegerDigits[n]!]]; Select[Range[ 2, 3500000], okQ] (* Harvey P. Dale, Apr 21 2011 *)
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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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EXTENSIONS
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STATUS
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approved
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