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A107578
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Prime index of A000101(n), maximal gap upper end prime index.
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4
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2, 3, 5, 10, 25, 31, 100, 155, 190, 218, 1184, 1832, 2226, 3386, 14358, 30803, 31546, 40934, 103521, 104072, 149690, 325853, 1094422, 1319946, 2850175, 6957877, 10539433, 10655463, 20684333, 23163299, 64955635, 72507381
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OFFSET
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1,1
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COMMENTS
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Conjecture: log a(n) ~ n/2. That is, record prime gaps occur about twice as often as records in an i.i.d. random sequence of comparable length (see arXiv:1709.05508 for a heuristic explanation). - Alexei Kourbatov, Jan 18 2019
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LINKS
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FORMULA
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EXAMPLE
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The prime index of a(3) = 5, so prime(a(3)) = prime(5) = 11.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Alex Beveridge, Apr 25 2007
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EXTENSIONS
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STATUS
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approved
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