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A054989
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Number of prime divisors of -1 + (product of first n primes).
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11
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0, 1, 1, 2, 1, 1, 2, 3, 3, 2, 2, 4, 1, 2, 3, 3, 2, 3, 3, 2, 2, 4, 3, 1, 2, 2, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 3, 5, 4, 5, 4, 4, 4, 4, 2, 3, 3, 2, 4, 3, 4, 2, 4, 4, 7, 4, 3, 3, 4, 4, 3, 3, 1, 3, 1, 4, 3, 5, 5, 4, 4, 6, 5, 5, 3, 4, 3, 4, 4, 3, 4, 2, 3, 4
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OFFSET
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1,4
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LINKS
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EXAMPLE
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a(4)=2 because 2*3*5*7 - 1 = 209 = 11*19
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MATHEMATICA
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a[q_] := Module[{x, n}, x=FactorInteger[Product[Table[Prime[i], {i, q}][[j]], {j, q}]-1]; n=Length[x]; Sum[Table[x[[i]][[2]], {i, n}][[j]], {j, n}]]
PrimeOmega[#] & /@ (FoldList[Times, Prime[Range[81]]] - 1) (* Harvey P. Dale, Mar 11 2017 *)
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CROSSREFS
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KEYWORD
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nonn,hard
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AUTHOR
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Arne Ring (arne.ring(AT)epost.de), May 30 2000
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EXTENSIONS
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STATUS
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approved
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