A064467 Primes in Pi: a(n) = first position in decimal expansion of Pi that matches the n-th prime, or 0 if there is no such position.

7, 1, 5, 14, 95, 111, 96, 38, 17, 187, 1, 47, 3, 24, 120, 9, 5, 220, 99, 40, 300, 14, 27, 12, 13, 853, 3487, 1488, 207, 363, 298, 1097, 860, 526, 2607, 394, 1658, 1411, 1183, 429, 439, 729, 1945, 169, 38, 705, 94, 136, 485, 186, 230, 1689, 1708, 1714, 1007, 614

Offset

1,1

Links

Robert G. Wilson v, Table of n, a(n) for n = 1..1000

Example

A000040(4) = 7 = A000796(14) and A000796(i) <> 7 for i < 14, so a(4) = 14.

Mathematica

pi = ToString[ N[ Pi, 4000]]; pi = StringDrop[pi, {2}]; Table[ StringPosition[pi, ToString[ Prime[ n]], 1][[1, 1]], {n, 60}]
With[{pidg=RealDigits[Pi, 10, 5000[[1]]}, Table[SequencePosition[ pidg, IntegerDigits[ n]][[1, 1]], {n, Prime[ Range[ 60]]}]] (* The program uses the SequencePosition function from Mathematica version 10 *) (* Harvey P. Dale, Jun 01 2015 *)

Crossrefs

Cf. A000040, A000796, A032445.

Sequence in context: A348562 A047875 A346610 * A089204 A107786 A246949

Adjacent sequences: A064464 A064465 A064466 * A064468 A064469 A064470

Keyword

base,nonn

Author

Reinhard Zumkeller, Oct 03 2001

Status

approved