A234518 Decimal expansion of log_12 (28/13).

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

Offset: 0

Author

Jaroslav Krizek, Jan 03 2014

Keywords

• nonn
• cons

Comments

Decimal expansion of maximal value of function alpha(n) = alpha-deviation from primality of number n = log_n(sigma(n)) - log_n(n+1) = log_n[sigma(n) / (n+1)] for n = 12, when alpha(12) = log_12(sigma(12)) - log_12(12+1) = log_12(28) - log_12(13) = log_12 (28/13) = 0,308766187…; alpha(p) = 0 for p = prime.

Examples

			0,3087661875664928997884010546628878661481631771557148…
		

Links

• Index entries for transcendental numbers

Crossrefs

Cf. A234515, A234516, A234517, A234519, A234520, A234521, A234522, A234523, A234524.

Programs

Mathematica

RealDigits[Log[12,28/13],10,120][[1]] (* Harvey P. Dale, Apr 17 2022 *)

PARI

log(28/13)/log(12) \\ Michel Marcus, Dec 11 2014

Formula

Decimal expansion of (A016651-A016636) / A016635.