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Search: id:A052297
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| A052297 |
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Number of distinct prime factors of all composite numbers between n-th and (n+1)st primes. |
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12
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| 0, 1, 2, 3, 2, 4, 2, 5, 5, 3, 6, 5, 3, 5, 6, 7, 3, 7, 6, 2, 8, 4, 8, 9, 5, 3, 6, 2, 6, 14, 5, 8, 3, 11, 3, 9, 7, 6, 8, 8, 3, 13, 2, 6, 3, 14, 15, 5, 3, 7, 9, 3, 11, 8, 9, 9, 3, 9, 6, 3, 13, 16, 7, 3, 6, 16, 8, 13, 3, 6, 9, 10, 9, 9, 6, 8, 11, 6, 12, 14, 4, 14, 2, 10, 7, 8, 11, 6, 4, 6, 16, 10, 6, 13
(list; graph; listen)
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OFFSET
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1,3
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
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EXAMPLE
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n=30, p(30)=113, the next prime is 127. In between 13 composites arise: {114,115,...,126}. Factorizing all and collecting prime factors, the set {2,3,5,7,11,13,17,19,23,29,31,41,59,61} is obtained including 14 primes, so a(30)=14;
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CROSSREFS
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A052180, A052248.
Cf. A061214, A077218
Sequence in context: A101743 A060937 A111982 this_sequence A058973 A105117 A100876
Adjacent sequences: A052294 A052295 A052296 this_sequence A052298 A052299 A052300
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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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