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

Author

Martin Raab, Dec 21 2005

Keywords

• nonn
• cons

Examples

			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.

Extensions

Name clarified by Thomas Scheuerle, Mar 28 2025