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A135969
Sum of the prime factors of A135953(n).
2
150, 2974, 62158, 55946694, 2710261050, 555008010, 46165377746, 95396546, 92180471494910, 1665088321801550, 771601497990, 8242065051309594, 32530503217194, 272602401466814027806, 5568053048227732238014, 2811666624525811646469921614, 1966344318693363713266514
OFFSET
1,1
COMMENTS
A subsequence of A135968.
FORMULA
a(n) = A008472(A135953(n)). - R. J. Mathar, Nov 26 2008
EXAMPLE
a(1) = 150 = 37+113 because A135953(1) = 4181 = 37*113.
a(2) = 2974 = 557+2417 because A135953(2) = 1346269 = 557*2417.
MATHEMATICA
k = {}; Do[If[ ! PrimeQ[Fibonacci[Prime[n]]], b = FactorInteger[Fibonacci[Prime[n]]]; c = Length[FactorInteger[b]]; If[c == 2, d = b[[1]][[1]] + b[[2]][[1]]; AppendTo[k, d]]], {n, 1, 50}]; k
Total[Transpose[FactorInteger[#]][[1]]]&/@Select[Fibonacci[Prime[ Range[50]]], PrimeOmega[#]==2&] (* Harvey P. Dale, Feb 18 2012 *)
KEYWORD
nonn,changed
AUTHOR
Artur Jasinski, Dec 09 2007
EXTENSIONS
Definition clarified by R. J. Mathar, Nov 26 2008
a(16)-a(17) from Amiram Eldar, Oct 23 2024
STATUS
approved