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

9, 1, 40, 2, 276, 28, 647, 140, 203, 243, 878, 784, 754, 492, 825, 1547, 907, 868, 1789, 9215, 898, 6222, 9131, 4829, 1516, 6700, 22640, 872, 11170, 3204, 223, 10387, 8299, 30086, 31079, 12637, 8486, 20644, 8451, 53069, 32093, 16297, 20276, 1002, 21264

Offset

1,1

Comments

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

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.

Links

M. F. Hasler (using data from H. Havermann), Table of n, a(n) for n=1,...,445.

Formula

A107892(n) = A032523(A000040(n)) = min { k | A001203(k)=A000040(n) }. - M. F. Hasler, Mar 31 2008

Crossrefs

Cf. A032523: first occurrence of n in A001203.

Cf. A138758, A138759.

Sequence in context: A276634 A050312 A295575 * A283043 A283016 A050303

Adjacent sequences: A107889 A107890 A107891 * A107893 A107894 A107895

Keyword

nonn

Author

Zak Seidov, May 25 2005

Extensions

Edited by M. F. Hasler, Mar 31 2008

Status

approved