A300753 Decimal expansion of the constant B such that ceiling(B^(3^k)) = A118910(k) is prime for all k >= 0.

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

Offset

1,2

Comments

Tóth calculated the first 5500 decimal digits of this constant. The first 600 digits are presented in his paper.

Links

Table of n, a(n) for n=1..87.

László Tóth, A Variation on Mills-Like Prime-Representing Functions, Journal of Integer Sequences, Vol. 20 (2017), Article 17.9.8.

Formula

Lim_{n->oo} (A118910(n) - 1)^(3^(-n)).

Example

1.24055470525201424067469515337900345212353396725255...

Crossrefs

Cf. A051021, A051254, A118910.

Sequence in context: A197513 A097666 A144810 * A319275 A269011 A274086

Adjacent sequences: A300750 A300751 A300752 * A300754 A300755 A300756

Keyword

nonn,cons

Author

Amiram Eldar, Jun 19 2018

Status

approved