A119334 Indices of Apery-primes: numbers n such that the concatenation of the first n decimal digits of Apery's constant zeta(3) is prime.

10, 55, 109, 141

Offset

1,1

Comments

No additional terms up to 10000. - Harvey P. Dale, Aug 28 2019

Links

Table of n, a(n) for n=1..4.

Eric Weisstein's World of Mathematics, Apery-Prime

Eric Weisstein's World of Mathematics, Integer Sequence Primes

Example

zeta(3) = 1.2020569031595..., 1202056903--the concatenation of the first 10 decimal digits--is prime, so a(1)=10.

Mathematica

Module[{nn=10000, z}, z=RealDigits[Zeta[3], 10, nn][[1]]; Select[Range[nn], PrimeQ[FromDigits[Take[z, #]]]&]] (* Harvey P. Dale, Aug 28 2019 *)

Crossrefs

Cf. A002117, A119333.

Sequence in context: A303608 A139610 A088404 * A321780 A074977 A069155

Adjacent sequences: A119331 A119332 A119333 * A119335 A119336 A119337

Keyword

nonn,more,base

Author

Eric W. Weisstein, May 14 2006

Extensions

Edited by Charles R Greathouse IV, Apr 27 2010

Status

approved