A074040 - OEIS

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A074040

Product of first n twin prime pair products.

15, 525, 75075, 24249225, 21800053275, 38433493923825, 138322144631846175, 716923675626858725025, 7458156997546211316435075, 86984485062381462583582279725, 1656445549042930191979157352803175 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`a(n) = A048599(2*n).`
	LINKS	`Table of n, a(n) for n=1..11.`
	FORMULA	`a(1) = A037074(1) and a(n) = a(n-1)*A037074(n) for n>1.`
	EXAMPLE	`The first two twin prime pairs are (3,5) and (57), their products: 15 and 35, therefore a(2)=1535=525.`
	MATHEMATICA	`a = {4, 6, 12, 18, 30, 42, 60, 72, 102, 108, 138, 150} (* A014574 ); Table[ Product[a[[k]]^2 - 1, {k, 1, n}], {n, 1, 12}]` `Rest[FoldList[Times, 1, Times@@@Select[Partition[Prime[Range[50]], 2, 1], #[[2]]-#[[1]]==2&]]] ( Harvey P. Dale, Jan 19 2015 *)`
	CROSSREFS	`Cf. A074041, A001359, A006512 & A014574.` `Sequence in context: A009068 A268960 A157166 * A002403 A077206 A171197` `Adjacent sequences: A074037 A074038 A074039 * A074041 A074042 A074043`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller, Aug 13 2002`
	EXTENSIONS	`Edited by Robert G. Wilson v, Aug 17 2002`
	STATUS	`approved`

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Last modified February 25 11:19 EST 2021. Contains 341606 sequences. (Running on oeis4.)