login
A135096
Decimal expansion of certain constant L.
1
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
0,1
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.
EXAMPLE
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.
Sequence in context: A021177 A091662 A063006 * A153104 A233527 A244355
KEYWORD
cons,nonn
AUTHOR
Werner D. Sand, Nov 25 2007, Dec 01 2007
EXTENSIONS
Leading zero removed by R. J. Mathar, Feb 05 2009
STATUS
approved