login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A073836 Let C(n) = product of composite numbers between the n-th prime and (n+1)-th prime; a(n) = floor(C(n+1)/C(n)). 0
1, 120, 0, 280, 0, 513, 1276, 0, 1507968, 0, 0, 2168, 3424, 1, 0, 17873856, 0, 0, 35185150, 0, 8847, 12778, 0, 0, 11348, 0, 12662, 777455654403407438918, 0, 20121, 0, 192643714695223095, 0, 577325548, 1, 0, 31603, 1, 0, 1478997122921398080, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..41.

EXAMPLE

a(4) = floor(14*15*16/12) = 280.

MATHEMATICA

c[n_] := Times @@ Select[Range[Prime[n], Prime[n + 1]], PrimeQ[ # ]==False&]; Table[Floor[c[n + 1]/c[n]], {n, 2, 30}] (* Ryan Propper, Jul 21 2006 *)

PROG

(PARI) C=4; for(n=3, 100, Cp1=1; for(k=prime(n)+1, prime(n+1)-1, Cp1*=k); print1(floor(Cp1/C)", "); C=Cp1) \\ Herman Jamke (hermanjamke(AT)fastmail.fm), May 02 2007

CROSSREFS

Sequence in context: A243779 A267335 A156415 * A242836 A229031 A221406

Adjacent sequences:  A073833 A073834 A073835 * A073837 A073838 A073839

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Aug 12 2002

EXTENSIONS

More terms from Ryan Propper, Jul 21 2006

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 02 2007

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 28 00:30 EDT 2022. Contains 354110 sequences. (Running on oeis4.)