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Search: id:A047820
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A047820 Becomes prime after exactly 1 iteration of f(x) = sum of prime factors of x. +0
4
4, 6, 8, 9, 10, 12, 16, 18, 20, 22, 24, 25, 27, 32, 34, 36, 40, 44, 48, 49, 50, 54, 58, 64, 68, 72, 80, 81, 82, 88, 96, 100, 108, 116, 118, 121, 125, 128, 136, 142, 144, 160, 162, 164, 165, 169, 176, 192, 200, 202, 210, 214, 216, 232, 236, 242, 243, 250, 256, 272 (list; graph; listen)
OFFSET

1,1

COMMENT

f(x) = sum of prime factors without multiplicity, so that f(1500) = 2+3+5 = 10.

MATHEMATICA

Select[ Range@280, (fi = FactorInteger@#; Plus @@ Last /@ fi > 1 && PrimeQ[Plus @@ First /@ fi]) &] (from Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 09 2005)

CROSSREFS

Sequence in context: A066071 A067013 A071070 this_sequence A034878 A116661 A109104

Adjacent sequences: A047817 A047818 A047819 this_sequence A047821 A047822 A047823

KEYWORD

nonn

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified July 19 08:04 EDT 2008. Contains 142098 sequences.


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