

A294197


Floor of log base n! of product of all primes between n!+1 and (n+1)!.


0




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)!).


KEYWORD

nonn,more


AUTHOR



STATUS

approved



