A090203 a(n) = p-th digit of phi where p = n-th prime.

6, 1, 0, 3, 7, 9, 8, 8, 5, 3, 5, 7, 3, 9, 8, 8, 4, 8, 5, 4, 2, 2, 7, 2, 1, 4, 4, 0, 8, 3, 3, 2, 9, 1, 7, 6, 4, 9, 5, 5, 6, 8, 9, 8, 2, 7, 6, 6, 0, 2, 0, 2, 9, 3, 4, 7, 2, 0, 5, 9, 4, 1, 9, 0, 4, 7, 5, 8, 4, 2, 5, 0, 1, 0, 8, 4, 2, 7, 8, 6, 0, 9, 2, 0, 1, 1, 0, 1, 1, 7, 6, 8, 5, 6, 7, 3, 3, 8, 3, 9, 7, 7, 1, 2, 0

Offset

2,1

Comments

The prime-th digits of Phi.

Is the number 6.10379885357398... irrational, transcendental?

Links

Table of n, a(n) for n=2..106.

Example

The 5th prime is 11. The 11th digit of Phi is 7, the 5th term in the sequence.

Mathematica

With[{nn=600}, Pick[RealDigits[GoldenRatio, 10, nn][[1]], If[PrimeQ[#], 1, 0]&/@Range[nn], 1]] (* Harvey P. Dale, Apr 22 2012 *)
Module[{nn=110, gr}, gr=RealDigits[GoldenRatio, 10, Prime[nn]][[1]]; Table[gr[[p]], {p, Prime[ Range[nn]]}]] (* Harvey P. Dale, Dec 07 2022 *)

Prog

(PARI) \primeth.gp primeth(n) = { default(realprecision, 1000); p=Str((sqrt(5)+1)/2*10^999); default(realprecision, 28); forprime(x=2, n, print1(mid(p, x, 1)", ") ) } mid(str, s, n) = { v =""; tmp = Vec(str); ln=length(tmp); for(x=s, s+n-1, v=concat(v, tmp[x]); ); return(v) }

Crossrefs

Sequence in context: A021625 A011221 A347237 * A120113 A074395 A355415

Adjacent sequences: A090200 A090201 A090202 * A090204 A090205 A090206

Keyword

base,easy,nonn

Author

Cino Hilliard, Jan 22 2004

Status

approved