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Search: id:A052298
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| A052298 |
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Maximal number of distinct prime factors of any composite number between n-th and (n+1)st primes. |
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+0
1
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| 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 4, 3, 3, 3, 4, 3, 3
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OFFSET
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1,2
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EXAMPLE
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n=36, p(36)=199, next prime is 211. In between, the number of prime factors for {200,201,...,210} is {2,2,2,2,3,2,2,2,2,2,4}of which the maximum is 4 arising at 210. So a(36)=4.
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CROSSREFS
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A052180, A052248.
Sequence in context: A103795 A123627 A001991 this_sequence A081412 A082863 A029411
Adjacent sequences: A052295 A052296 A052297 this_sequence A052299 A052300 A052301
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Feb 09 2000
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