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A294197
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Floor of log base n! of product of all primes between n!+1 and (n+1)!.
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0
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OFFSET
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2,1
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LINKS
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FORMULA
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a(n) = Sum_( log(p_i), i=primepi(n!)+1..primepi((n+1)!) ) / log(n!).
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EXAMPLE
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a(3) = floor(log(7436429)/log(6)) = floor(8.830..) = 8.
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MATHEMATICA
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Table[Floor[1/Log[n!] Plus @@ Table[Log[Prime[i]*1.], {i, PrimePi[n!] + 1, PrimePi[(n + 1)!]}]], {n, 2, 10}]
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CROSSREFS
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Cf. A061232 (number of primes between n!+1 and (n+1)!).
Cf. A294195 (product of primes between n!+1 and (n+1)!).
Cf. A294196 (log of product of primes between n!+1 and (n+1)!).
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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