S000715


Position of the first n-digit prime in the digits of sqrt(Pi).

2, 1, 9, 18, 27, 16, 5, 22, 53, 2, 9, 46, 46, 8, 79, 4, 64, 40, 11, 6, 32, 47, 6, 27, 19, 68, 162, 26, 29, 18, 228, 152, 36, 37, 19, 180, 73, 15, 141, 86, 3, 187, 41, 281, 9, 48, 79, 287, 322, 31, 176, 137, 526, 328, 500, 38, 22, 321, 22, 226, 256, 41, 103, 228

1

S000715

The n-digit primes are given in S000714.

T. D. Noe, Plot of 300 terms

T. D. Noe, Table of 300 terms

Wikipedia, Pi

(Mma) d = RealDigits[Sqrt[Pi], 10, 1000]; t = {}; n = 1; While[d1 = Partition[d[[1]], n, 1]; s = Select[d1, Ceiling[Log[10, FromDigits[#]]] == n && PrimeQ[FromDigits[#]] &, 1]; s != {}, AppendTo[t, {FromDigits[s[[1]]], Position[d1, s[[1]], 1, 1][[1, 1]]}]; n++]; Transpose[t][[2]]

Cf. S000714.

nonn

T. D. Noe, Oct 06 2015

© Tony D Noe 2014-2015