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

1,2

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

Formula

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

Crossrefs

Cf. A117739, A243358.

Sequence in context: A248301 A284157 A201583 * A179048 A173158 A020787

Adjacent sequences: A243367 A243368 A243369 * A243371 A243372 A243373

Keyword

cons,nonn

Author

Andrey V. Kulsha, Jun 04 2014

Status

approved