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 A110021 Final term of the simple continued fraction for prime(n+1)/prime(n). 5
 2, 2, 2, 3, 2, 4, 2, 3, 5, 2, 6, 4, 2, 3, 5, 5, 2, 6, 3, 2, 6, 3, 5, 8, 4, 2, 3, 2, 4, 14, 3, 5, 2, 9, 2, 6, 6, 3, 5, 5, 2, 10, 2, 4, 2, 2, 2, 3, 2, 4, 5, 2, 10, 5, 5, 5, 2, 6, 4, 2, 3, 13, 3, 2, 4, 4, 6, 3, 2, 4, 5, 7, 6, 6, 3, 5, 2, 4, 8, 9, 2, 10, 2, 6, 3, 5, 8, 4, 2, 3, 11, 7, 3, 2, 3, 5, 2, 2, 18, 6 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE Prime(6)/prime(5) = 13/11 = 1 + 1/(5 + 1/2). So a(5) = 2. MATHEMATICA Table[Last[ContinuedFraction[Prime[n + 1]/Prime[n]]], {n, 100}] (* Ray Chandler, Sep 18 2005 *) CROSSREFS Cf. A071866, A109374, A112323, A112324, A112768. Sequence in context: A318583 A076709 A307774 * A036013 A256587 A249616 Adjacent sequences:  A110018 A110019 A110020 * A110022 A110023 A110024 KEYWORD nonn AUTHOR Leroy Quet, Sep 03 2005 EXTENSIONS Extended by Ray Chandler, Sep 18 2005 STATUS approved

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Last modified September 20 17:16 EDT 2020. Contains 337265 sequences. (Running on oeis4.)