A135096 Decimal expansion of certain constant L.

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

Offset: 0

Author

Werner D. Sand, Nov 25 2007, Dec 01 2007

Keywords

• cons
• nonn

Comments

Conjecture: With any real number c in the interval [L,U] there exists for each natural number n>2 a natural number m and a prime number p so that n=floor(m^c)+p. L is the lower bound of c. U is the upper bound of c. L = 0.5781296526305628137240577579803... U = 1.3652123889685187297293386676777... (A135097).

L is close to the Euler-Mascheroni constant Gamma = 0.5772... I am continuing calculating further digits.

Examples

			Let c=1.23456789 (arbitrary). Each natural number n>2 has the form n=floor(m^1.23456789+p), where m is natural number and p prime.
		

Crossrefs

Cf. A135097.

Extensions

Leading zero removed by R. J. Mathar, Feb 05 2009