A294196 Floor of log of product of all primes between n!+1 and (n+1)!.

2, 15, 87, 579, 4276, 35103, 322168, 3264471, 36285842, 439070392, 5747983086

Offset: 2

Author

Olivier Gérard, Oct 29 2017

Keywords

• nonn
• more

Examples

			a(3) = floor(log(7*11*13*17*19*23)) = floor(15.82) = 15.
		

Crossrefs

Cf. A061232 (number of primes between n!+1 and (n+1)!).

Cf. A294194 (sum of primes between n!+1 and (n+1)!).

Cf. A294195 (product of primes between n!+1 and (n+1)!).

Programs

Mathematica

Table[Floor[Plus @@ Table[Log[Prime[i]*1.], {i, PrimePi[n!] + 1, PrimePi[(n + 1)!]}]], {n, 2, 11}]

Extensions

a(12) from Daniel Suteu, Nov 15 2018