A112597 Decimal expansion of x, where x is the smallest number for which floor[x^(2^y)] is prime for every y>0.

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

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Example

1.524699960538...
Repeated squaring gives the primes 2, 5, 29, 853, 727613, 529420677791, 280286254072681840639693, ...

Crossrefs

Cf. A051021, decimal expansion of Mills' constant where floor[x^(3^y)] is prime for every y>0.

Sequence in context: A329477 A257701 A202494 * A257700 A334206 A006666

Adjacent sequences: A112594 A112595 A112596 * A112598 A112599 A112600

Keyword

nonn,cons

Author

Martin Raab, Dec 21 2005

Status

approved