A112597 Decimal expansion of x, where x is the smallest number for which floor(x^(2^y)) is prime for every y > 0 (assuming the truth of Legendre's conjecture).

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, ... (A059784).

Crossrefs

Cf. A059784, 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

Extensions

Name clarified by Thomas Scheuerle, Mar 28 2025

Status

approved