A243370 - OEIS

%I #25 Jul 02 2014 17:14:21

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

%T 4,8,6,2,2,8,9,5,8,9,7,7,4,9,7,8,6,2,8,5,6,9,6,5,4,5,0,0,8,0,5,0,0,5,

%U 0,9,8,2,2,4,9,2,8,1,2,5,3,5,7,5,9,9,0

%N Decimal expansion of the number A = 1.8252076... which generates the densest possibly infinite sequence of primes a(n) = floor[A^(C^n)] for A < 2. That prime sequence is A243358.

%C It is very likely, but not yet proved, that the sequence of primes A243358 is actually infinite. But it's clear that if such an infinite sequence exists, then its density parameter C should be larger than C_0 = 1.2209864... (see A117739).

%H Andrey V. Kulsha, <a href="/A243370/b243370.txt">Table of n, a(n) for n = 1..50000</a>

%F A = 84^(1/C_0^10), where C_0 (mentioned above) is given in A117739.

%Y Cf. A117739, A243358.

%K cons,nonn

%O 1,2

%A _Andrey V. Kulsha_, Jun 04 2014