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A103893
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Number of distinct prime factors of prime(n)! / prime(n)# + 1.
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2
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1, 1, 1, 1, 2, 3, 3, 4, 2, 3, 2, 4, 4, 5, 3, 2, 3, 4, 6, 5, 5, 5, 5, 6, 5, 4, 5, 3, 7, 5, 5, 8, 5
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OFFSET
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1,5
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COMMENTS
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Also the number of distinct prime factors of the P_n-th compositorial.
a(31) > 4 and its composite part is a 155-digit number.
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LINKS
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FORMULA
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MATHEMATICA
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bigomega[n_Integer] := Plus @@ Last /@ FactorInteger[n]; f[n_] := Prime[n]!/Product[Prime[i], {i, n}] + 1; Table[ f[n], {n, 27}] (* Robert G. Wilson v, Mar 11 2005 *)
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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a(31)-a(33) using factordb.com added by Amiram Eldar, Jan 21 2024
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STATUS
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approved
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