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A300753 Decimal expansion of the constant B such that ceiling(B^(3^k)) = A118910(k) is prime for all k >= 0. 1

%I #19 Dec 10 2023 18:12:36

%S 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,

%T 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,

%U 1,0,4,9,1,1,1,6,4,2,3,1,6,9,2,0,9,1,7

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

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

%H László Tóth, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL20/Toth2/toth32.html">A Variation on Mills-Like Prime-Representing Functions</a>, Journal of Integer Sequences, Vol. 20 (2017), Article 17.9.8.

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

%e 1.24055470525201424067469515337900345212353396725255...

%Y Cf. A051021, A051254, A118910.

%K nonn,cons

%O 1,2

%A _Amiram Eldar_, Jun 19 2018

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