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 A075654 n + sum of prime factors of n = (n+1) + sum of prime factors of (n+1). 0
 3, 14, 152, 224, 285, 455, 902, 1518, 2013, 2079, 4823, 6655, 7104, 7584, 8493, 8532, 9416, 14344, 15687, 18569, 20115, 20163, 20490, 22351, 25543, 26123, 28250, 28564, 30744, 37305, 37406, 41261, 45844, 50609, 51992, 54137, 56563, 60651 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE 14 + sum of prime factors of 14 = 14 + 2 + 7 = 23; 15 + sum of prime factors of 15 = 15 + 3 + 5 = 23; hence 14 belongs to the sequence. MATHEMATICA s[n_] := n + Apply[Plus, Transpose[FactorInteger[n]][[1]]]; Select[Range[2, 10^5], s[ # ] == s[ # + 1] &] CROSSREFS Sequence in context: A126933 A073550 A002966 * A185238 A090897 A120459 Adjacent sequences:  A075651 A075652 A075653 * A075655 A075656 A075657 KEYWORD nonn AUTHOR Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Oct 11 2002 STATUS approved

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