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A048599 Partial products of the sequence (A001097) of twin primes. 6
1, 3, 15, 105, 1155, 15015, 255255, 4849845, 140645505, 4360010655, 178760436855, 7686698784765, 453515228301135, 27664428926369235, 1964174453772215685, 143384735125371745005, 14481858247662546245505 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..16.

EXAMPLE

a(5) = 15015 because 3 * 5 * 7 * 11 * 13 = 15015.

MATHEMATICA

nextTwin[{list_, q_}] := Module[{p=NextPrime[q]}, {Join[list, If[PrimeQ[p-2]||PrimeQ[p+2], {p}, {}]], p}]

a001097[n_] := First[NestWhile[nextTwin, {{3}, 3}, Length[First[nextTwin[#]]]<=n&]]

a048599[n_] := FoldList[Times, 1, a001097[n]]

a048599[16] (* Hartmut F. W. Hoft, Apr 27 2021 *)

CROSSREFS

Cf. A048598.

Cf. A001097.

Sequence in context: A207818 A118750 A070826 * A129731 A269455 A088109

Adjacent sequences:  A048596 A048597 A048598 * A048600 A048601 A048602

KEYWORD

easy,nonn

AUTHOR

Den Roussel (DenRoussel(AT)webtv.net)

EXTENSIONS

More terms from Michael Lugo (mlugo(AT)thelabelguy.com), Dec 22 1999

STATUS

approved

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Last modified December 9 06:07 EST 2021. Contains 349627 sequences. (Running on oeis4.)