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Search: id:A141061
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| A141061 |
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Number of primes between n*p(n) and (n+1)*p(n+1), where p(n) is the n-th prime. |
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+0
1
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| 2, 3, 3, 7, 5, 9, 6, 10, 15, 7, 18, 13, 11, 16, 20, 22, 16, 21, 18, 19, 28, 22, 29, 39, 21, 23, 25, 17, 31, 69, 28, 40, 23, 56, 24, 45, 42, 38, 48, 45, 30, 64, 30, 46, 29, 88, 82, 44, 33, 42, 60, 40, 81, 59, 60, 69, 39, 64, 49, 42, 95, 110, 59, 47, 56, 134, 70, 106, 49, 55, 77
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(4)=7 because between 4*p(4)=4*7=28 and 5*p(5)=5*11=55 one has 7 primes (29,31,37,41,43,47 and 53).
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MAPLE
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with(numtheory): seq(pi((n+1)*ithprime(n+1))-pi(n*ithprime(n)), n=1..74); [From Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 16 2008]
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CROSSREFS
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Sequence in context: A088100 A097359 A079387 this_sequence A076557 A140407 A063670
Adjacent sequences: A141058 A141059 A141060 this_sequence A141062 A141063 A141064
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KEYWORD
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nonn
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru) Aug 4 2008
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EXTENSIONS
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Corrected and extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 16 2008
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