id:A090303 - OEIS Search Results

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Begin with n and consider numbers obtained by successively subtracting 2,3,5,7,11,...; a(n) = largest prime that arises; i.e. largest prime of the form n - sum prime(r); or 0 if no such prime exists.

+0
2

0, 0, 0, 2, 3, 0, 5, 3, 7, 5, 0, 7, 11, 0, 13, 11, 7, 13, 17, 3, 19, 17, 13, 19, 23, 0, 17, 23, 19, 13, 29, 0, 31, 29, 7, 31, 0, 0, 37, 23, 31, 37, 41, 3, 43, 41, 37, 43, 47, 0, 41, 47, 43, 37, 53, 0, 47, 53, 31, 43, 59, 0, 61, 59, 37, 61, 0, 0, 67, 53, 61, 67, 71, 0, 73, 71, 67, 73, 2, 3 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`a(p) = p-2 if p is larger member of a twin prime pair. Conjecture: There are finitely many zeros in this sequence.`
	FORMULA	`Largest prime of the form n - sum prime(r).`
	CROSSREFS	`Cf. A090304.` `Sequence in context: A057174 A080367 A066913 this_sequence A051444 A057637 A167485` `Adjacent sequences: A090300 A090301 A090302 this_sequence A090304 A090305 A090306`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 30 2003`
	EXTENSIONS	`More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Oct 27 2005`

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.

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