A219244 - OEIS

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A219244

Differences of two consecutive primes which both equal 1 modulo 3, divided by 6.

1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 2, 1, 2, 1, 1, 3, 1, 2, 2, 1, 1, 1, 4, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 3, 4, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,6`
	COMMENTS	`a(n) = (A217659(n) - A185934(n)) / 6.`
	LINKS	`Reinhard Zumkeller, Table of n, a(n) for n = 1..1000`
	MATHEMATICA	`(Last[#]-First[#])/6&/@Select[Partition[Prime[Range[800]], 2, 1], Mod[First[#], 3] == Mod[Last[#], 3]==1&] (* Harvey P. Dale, Feb 26 2013 *)`
	PROG	`(Haskell)` `a219244 n = a219244_list !! (n-1)` a219244_list = map (`div` 6) $ zipWith (-) a217659_list a185934_list
	CROSSREFS	`Cf. A185934, A217659.` `Sequence in context: A070000 A227736 A228528 * A330231 A323017 A273638` `Adjacent sequences: A219241 A219242 A219243 * A219245 A219246 A219247`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller, Nov 16 2012`
	STATUS	`approved`

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Last modified October 3 14:02 EDT 2022. Contains 357237 sequences. (Running on oeis4.)