A090202 a(n) = p-th digit of e where p = n-th prime.

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

Offset

2,1

Comments

The prime-th digits of e.

Is the number 7.12149252327276... irrational, transcendental?

Links

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

Example

The 5th prime is 11. The 11th digit of e is 4, the 5th term in the sequence.

Mathematica

With[{nn=600}, Pick[RealDigits[E, 10, nn][[1]], If[PrimeQ[#], 1, 0]&/@ Range[ nn], 1]] (* Harvey P. Dale, Apr 22 2012 *)

Prog

(PARI) \primeth.gp primeth(n) = { default(realprecision, 1000); p=Str(exp(1)*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: A350048 A111037 A369980 * A030172 A040052 A134898

Adjacent sequences: A090199 A090200 A090201 * A090203 A090204 A090205

Keyword

base,easy,nonn

Author

Cino Hilliard, Jan 22 2004

Status

approved