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A117366
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a(n) = smallest prime greater than the largest prime dividing n.
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4
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2, 3, 5, 3, 7, 5, 11, 3, 5, 7, 13, 5, 17, 11, 7, 3, 19, 5, 23, 7, 11, 13, 29, 5, 7, 17, 5, 11, 31, 7, 37, 3, 13, 19, 11, 5, 41, 23, 17, 7, 43, 11, 47, 13, 7, 29, 53, 5, 11, 7, 19, 17, 59, 5, 13, 11, 23, 31, 61, 7, 67, 37, 11, 3, 17, 13, 71, 19, 29, 11, 73, 5, 79, 41, 7, 23, 13, 17, 83, 7
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| 5 is the largest prime dividing 10. So a(10) is the smallest prime > 5, which is 7.
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MATHEMATICA
| Table[Prime[PrimePi[FactorInteger[n][[Length[FactorInteger[n]]]][[1]]]+1], {n, 2, 80}], 2, 1] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 09 2006
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CROSSREFS
| Cf. A117364, A117365, A117367.
Sequence in context: A052248 A092386 A117369 * A073482 A107685 A161984
Adjacent sequences: A117363 A117364 A117365 * A117367 A117368 A117369
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KEYWORD
| nonn
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AUTHOR
| Leroy Quet Mar 10 2006
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EXTENSIONS
| More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 09 2006
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