login
Decimal expansion of log_12 (28/13).
9

%I #17 Aug 21 2023 10:03:02

%S 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,

%T 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,

%U 0,6,6,7,0,6,4,4,3,1,6,7,6,1,5,4,2,7,3

%N Decimal expansion of log_12 (28/13).

%C 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.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Decimal expansion of (A016651-A016636) / A016635.

%e 0,3087661875664928997884010546628878661481631771557148…

%t RealDigits[Log[12,28/13],10,120][[1]] (* _Harvey P. Dale_, Apr 17 2022 *)

%o (PARI) log(28/13)/log(12) \\ _Michel Marcus_, Dec 11 2014

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

%K nonn,cons

%O 0,1

%A _Jaroslav Krizek_, Jan 03 2014