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A061214
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Product of composite numbers between the n-th and (n+1)st primes.
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5
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| A006530(a(n)) = A052248(n) for n>1. [Reinhard Zumkeller, Jun 22 2011]
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..2000
M. L. Perez et al., eds., Smarandache Notions Journal
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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.
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MAPLE
| with(numtheory): for i from 1 to 100 do printf(`%d, `, product(n, n=ithprime(i)+1..ithprime(i+1)-1)) od:
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MATHEMATICA
| Table[Times@@Range[Prime[n]+1, Prime[n+1]-1], {n, 30}] (* From Harvey P. Dale, June 14 2011 *)
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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) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 19 2009]
(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
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CROSSREFS
| Cf. A052297
Sequence in context: A056831 A027717 A035481 * A137024 A054264 A077305
Adjacent sequences: A061211 A061212 A061213 * A061215 A061216 A061217
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 21 2001
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 24 2001
Better definition from T. D. Noe, Jan 21 2008
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