A114413 - OEIS

%I #12 Jan 21 2025 23:45:37

%S 4,6,12,58,83

%N Records in 3-almost prime gaps ordered by merit.

%F a(n) = records in A114403(n)/log_10(A014612(n)) = records in (A014612(n+1) - A014612(n))/log_10(A014612(n)).

%e Records defined in terms of A114403 and A014612:

%e   n  A114403(n)  A114403(n)/log_10(A014612(n))

%e   =  ==========  =============================

%e   1      4       4/log_10(8)   = 4.42923746

%e   2      6       6/log_10(12)  = 5.55977045

%e   3      2       2/log_10(18)  = 1.59327954

%e   4      7       7/log_10(20)  = 5.38035251

%e   5      1       1/log_10(27)  = 0.698634425

%e   6      2       2/log_10(28)  = 1.38201907

%e   7      12      12/log_10(30) = 8.12390991

%e   ...

%e   19     14      14/log_10(78) = 7.3992072

%Y Cf. A014612, A065516, A111870, A111871, A114403-A114411, A114412-A114422.

%K nonn,more

%O 1,1

%A _Jonathan Vos Post_, Nov 25 2005

%E a(4)-a(5) from _Donovan Johnson_, Feb 17 2010