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%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
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