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A090303
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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.
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1
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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; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| a(p) = p-2 if p is larger member of a twin prime pair. Conjecture: There are finitely many zeros in this sequence.
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FORMULA
| Largest prime of the form n - sum prime(r).
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CROSSREFS
| Cf. A090304.
Sequence in context: A199514 A080367 A066913 * A051444 A057637 A167485
Adjacent sequences: A090300 A090301 A090302 * A090304 A090305 A090306
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 30 2003
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EXTENSIONS
| More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Oct 27 2005
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