

A071867


Maximum element in the continued fraction for prime(n+1)/prime(n).


0



2, 2, 2, 3, 5, 4, 8, 4, 5, 14, 6, 9, 20, 10, 7, 8, 29, 10, 16, 35, 12, 19, 13, 11, 24, 50, 25, 53, 27, 14, 31, 21, 68, 13, 74, 25, 26, 40, 27, 28, 89, 18, 95, 48, 98, 16, 17, 55, 113, 57, 38, 119, 24, 41, 42, 43, 134, 45, 69, 140, 28, 20, 76, 155, 78, 22, 55, 33, 173, 87, 58
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..71.


EXAMPLE

prime(5)/prime(4) = 11/7 11/7 continued fraction is [1, 1, 1, 3] hence a(4)=3.


MATHEMATICA

Table[Max[ContinuedFraction[Prime[n+1]/Prime[n]]], {n, 80}] (* Harvey P. Dale, Dec 24 2015 *)


PROG

(PARI) for(n=1, 200, print1(vecmax(contfrac(prime(n+1)/prime(n))), ", "))


CROSSREFS

Sequence in context: A182534 A165918 A114639 * A126337 A322261 A304718
Adjacent sequences: A071864 A071865 A071866 * A071868 A071869 A071870


KEYWORD

easy,nonn


AUTHOR

Benoit Cloitre, Jun 09 2002


STATUS

approved



