A243370 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.

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

Offset: 1

Author

Andrey V. Kulsha, Jun 04 2014

Keywords

• cons
• nonn

Comments

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).

Links

• Andrey V. Kulsha, Table of n, a(n) for n = 1..50000

Crossrefs

Cf. A117739, A243358.

Formula

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