Position of the first n-digit prime in the digits of sqrt(2).
5, 2, 4, 8, 8, 6, 7, 4, 5, 2, 37, 31, 49, 59, 33, 18, 72, 62, 43, 49, 2, 34, 23, 3, 39, 25, 16, 429, 12, 2, 10, 125, 11, 3, 52, 108, 6, 3, 136, 60, 32, 2, 101, 167, 157, 9, 88, 129, 42, 249, 56, 84, 9, 94, 1, 311, 66, 65, 121, 40, 139, 74, 118, 136, 50, 665, 143
1
The n-digit primes are given in S000710.
T. D. Noe, Plot of 300 terms
T. D. Noe, Table of 300 terms
Wikipedia, Square root of 2
(Mma) d = RealDigits[Sqrt[2], 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. S000710.
nonn
T. D. Noe, Oct 06 2015