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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A305318 Numbers k such that A071866(k)=3.

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%I A305318 #10 May 31 2018 03:09:36
%S A305318 2,3,5,6,7,10,11,12,13,17,18,20,21,24,25,26,28,29,30,33,35,36,37,41,
%T A305318 42,43,44,45,49,50,52,53,57,58,59,60,64,65,67,69,70,73,74,78,79,81,82,
%U A305318 83,84,87,88,89,98,99,100,104,105,109,110,111,112,113,115,116,120,121,122,125,129,130,133
%N A305318 Numbers k such that A071866(k)=3.
%C A305318 All terms are in A066940.  The first member of A066940 not in this sequence is 61.
%H A305318 Robert Israel, <a href="/A305318/b305318.txt">Table of n, a(n) for n = 1..10000</a>
%F A305318 a(n) = A000720(A275697(n+1)). - _Robert Israel_, May 31 2018
%p A305318 select(n -> nops(convert(ithprime(n+1)/ithprime(n),confrac))=3, [$1..1000]);
%o A305318 (PARI) isok(n) = length(contfrac(prime(n+1)/prime(n))) == 3; \\ _Michel Marcus_, May 31 2018
%Y A305318 Cf. A000720, A066940, A071866, A275697.  Contains A029707.
%K A305318 nonn
%O A305318 1,1
%A A305318 _Robert Israel_, May 29 2018