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A294197 Floor of log base n! of product of all primes between n!+1 and (n+1)!. 0
3, 8, 27, 120, 650, 4117, 30380, 255000, 2402333, 25086428 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,1
LINKS
FORMULA
a(n) = Sum_( log(p_i), i=primepi(n!)+1..primepi((n+1)!) ) / log(n!).
EXAMPLE
a(3) = floor(log(7436429)/log(6)) = floor(8.830..) = 8.
MATHEMATICA
Table[Floor[1/Log[n!] Plus @@ Table[Log[Prime[i]*1.], {i, PrimePi[n!] + 1, PrimePi[(n + 1)!]}]], {n, 2, 10}]
CROSSREFS
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)!).
Sequence in context: A110886 A104854 A226061 * A030495 A074271 A005641
KEYWORD
nonn,more
AUTHOR
Olivier Gérard, Oct 29 2017
STATUS
approved

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Last modified June 18 23:53 EDT 2024. Contains 373490 sequences. (Running on oeis4.)