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A107892 Index of first occurrence of n-th prime in A001203, the continued fraction for Pi.

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%I A107892 #8 Mar 14 2015 13:52:08
%S A107892 9,1,40,2,276,28,647,140,203,243,878,784,754,492,825,1547,907,868,
%T A107892 1789,9215,898,6222,9131,4829,1516,6700,22640,872,11170,3204,223,
%U A107892 10387,8299,30086,31079,12637,8486,20644,8451,53069,32093,16297,20276,1002,21264
%N A107892 Index of first occurrence of n-th prime in A001203, the continued fraction for Pi.
%C A107892 Until it is proved that every prime does indeed occur in A001203, we should tacitly understand a convention like "A107892(n) = 0 if A000040(n) does not occur in A001203". - _M. F. Hasler_, Mar 31 2008
%C A107892 Among first 1000000 terms of the continued fraction for Pi, the first absent primes have indices 129, 132, 137, 146, 147, 158, 160, 165, 170, 172, 175, 180, 182, 184, 189, 193, 197, 198, 199. The 200th prime is in the 947040th place, thus A107892(200)=947040.
%H A107892 M. F. Hasler (using data from H. Havermann), <a href="/A107892/b107892.txt">Table of n, a(n) for n=1,...,445</a>.
%F A107892 A107892(n) = A032523(A000040(n)) = min { k | A001203(k)=A000040(n) }. - _M. F. Hasler_, Mar 31 2008
%Y A107892 Cf. A032523: first occurrence of n in A001203.
%Y A107892 Cf. A138758, A138759.
%K A107892 nonn
%O A107892 1,1
%A A107892 _Zak Seidov_, May 25 2005
%E A107892 Edited by _M. F. Hasler_, Mar 31 2008