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Search: id:A154099
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| A154099 |
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Maximal number of primes in intervals of size n containing the n-th prime. |
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+0
1
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| 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 9, 10, 11, 11, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 14, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n) = Max(#{p: p prime and prime(n)-n+k+1<=p<=prime(n)+k}: 0<=k<n).
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LINKS
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R. Zumkeller, Table of n, a(n) for n = 1..5000
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EXAMPLE
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a(10) = Max{#{23,29,31}, #{29,31}, #{29,31,37}} = 3;
a(12) = Max{#{29,31,37}, #{31,37,41,43}, #{37,41,43,47}} = 4.
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CROSSREFS
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A097935, A000720.
Sequence in context: A002266 A075249 A008648 this_sequence A105511 A027868 A060384
Adjacent sequences: A154096 A154097 A154098 this_sequence A154100 A154101 A154102
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 05 2009
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