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 A061214 Product of composite numbers between the n-th and (n+1)st primes. 13
 1, 4, 6, 720, 12, 3360, 18, 9240, 11793600, 30, 45239040, 59280, 42, 91080, 311875200, 549853920, 60, 1072431360, 328440, 72, 2533330800, 531360, 4701090240, 60072730099200, 970200, 102, 1157520, 108, 1367520, 1063186156509747740870400000, 2146560, 43191973440 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS T. D. Noe, Table of n, a(n) for n = 1..2000 FORMULA A006530(a(n)) = A052248(n) for n > 1. - Reinhard Zumkeller, Jun 22 2011 EXAMPLE a(4) = 8 * 9 * 10 = 720. 7 is the fourth prime and 11 is the fifth prime. a(5) = 12 as 11 and 13 both are primes. MAPLE A061214 := proc(n)     local k ;     product(k, k=ithprime(n)+1..ithprime(n+1)-1) ; end proc: # R. J. Mathar, Apr 23 2013 MATHEMATICA Table[Times@@Range[Prime[n]+1, Prime[n+1]-1], {n, 30}] (* Harvey P. Dale, Jun 14 2011 *) Times@@Range[#[[1]]+1, #[[2]]-1]&/@Partition[Prime[Range[40]], 2, 1] (* Harvey P. Dale, Apr 23 2022 *) PROG (PARI) { n=0; q=2; forprime (p=3, prime(2001), a=1; for (i=q + 1, p - 1, a*=i); q=p; write("b061214.txt", n++, " ", a) ) } \\ Harry J. Smith, Jul 19 2009 (PARI) v=primes(100); for(i=1, #v-1, v[i]=prod(j=v[i]+1, v[i+1]-1, j)); vecextract(v, "1..-2") \\ Charles R Greathouse IV, Feb 27 2012 (Haskell) a061214 n = a061214_list !! (n-1) a061214_list = f a000040_list where    f (p:ps'@(p':ps)) = (product [p+1..p'-1]) : f ps' -- Reinhard Zumkeller, Jun 22 2011 CROSSREFS Cf. A006530, A052248, A052297. Cf. A046933 and A054265 (number and sum of these composites). Sequence in context: A027717 A035481 A323214 * A137024 A054264 A077305 Adjacent sequences:  A061211 A061212 A061213 * A061215 A061216 A061217 KEYWORD nonn AUTHOR Amarnath Murthy, Apr 21 2001 EXTENSIONS More terms from James A. Sellers, Apr 24 2001 Better definition from T. D. Noe, Jan 21 2008 STATUS approved

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Last modified May 17 13:23 EDT 2022. Contains 353746 sequences. (Running on oeis4.)