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Search: id:A049036
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| A049036 |
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Mean gap between successive primes up to n-th prime is an integer. |
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+0
4
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| 2, 10, 68, 438, 442, 2616, 100350, 100354, 100360, 637198, 637306, 27066970, 27067050, 27067102, 27067114, 27067116, 179992840, 179993002, 55762149072, 382465573492, 2636913002950
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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C. K. Caldwell, Prime Gaps
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FORMULA
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a(n) = (n - 1) divides (p(n) - n - 1).
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EXAMPLE
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a(2)=10 since 9 (number of gaps) divides 18 (number of composites less than 29, the 10th prime). Therefore the "average" gap less than 29 is exactly 2.
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CROSSREFS
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Cf. A049038, A049066.
Sequence in context: A060206 A108205 A108397 this_sequence A152620 A152621 A147725
Adjacent sequences: A049033 A049034 A049035 this_sequence A049037 A049038 A049039
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KEYWORD
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nonn
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AUTHOR
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G. L. Honaker, Jr. (honak3r(AT)gmail.com)
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EXTENSIONS
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More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), May 25 2000
Three more terms from Phil Carmody (pc+oeis(AT)asdf.org), Jul 23 2003
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