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A081411 Partial product of prime gaps: a(n) = a(n-1)*(prime(n+1) - prime(n)). 1
1, 2, 4, 16, 32, 128, 256, 1024, 6144, 12288, 73728, 294912, 589824, 2359296, 14155776, 84934656, 169869312, 1019215872, 4076863488, 8153726976 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Original name was: Generated by recursion: a(n)=(Mod[Prime[n+1],Prime[n]]*n[n-1]; a[0]=1; Product of the first n consecutive prime-differences.

LINKS

Table of n, a(n) for n=1..20.

PROG

(PARI) diff(v)=vector(#v-1, i, v[i+1]-v[i])

pprod(v)=my(t=1); vector(#v, i, t*=v[i])

pprod(diff(primes(50))) \\ Charles R Greathouse IV, Mar 27 2014

CROSSREFS

Cf. A001223, A080374, A080375, A080376.

Sequence in context: A171381 A274497 A145119 * A269758 A094384 A053038

Adjacent sequences:  A081408 A081409 A081410 * A081412 A081413 A081414

KEYWORD

nonn

AUTHOR

Labos Elemer, Apr 01 2003

EXTENSIONS

New name from Charles R Greathouse IV, Mar 27 2014

STATUS

approved

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Last modified August 20 13:04 EDT 2017. Contains 290835 sequences.