A089687 - OEIS

%I #10 Jun 04 2025 10:24:04

%S 5,4,6,6,8,7,8,11,14,12,15,13,14,16,19,18,19,18,19,20,23,20,23,26,28,

%T 29,31,27,28,29,31,34,34,39,40,37,39,41,44,40,41,40,40,42,43,42,47,48,

%U 49,51,54,48,52,55,57,60,61,56,58,52,56,62,63,64,66,64,67,71,72,66,69,65

%N Linear chaotic function based on log function from primes and prime distribution.

%C Based on function solution of: Solve[(Prime[n]+a*PrimePi[n])/(1+a)-Sqrt[Prime[n]*PrimePi[n]]=0,a] which gives a log type function a[n].

%F a(n) = floor(exp((prime(n) - sqrt(prime(n)* primepi(n)))/(-primepi(n) + sqrt(prime(n)* primepi(n))))).

%t digits=200; b = Table[Floor[Exp[(Prime[n] - Sqrt[Prime[n]* PrimePi[n]])/(-PrimePi[n] + Sqrt[Prime[n]* PrimePi[n]])]], {n, 2, digits}]

%K nonn,uned

%O 2,1

%A _Roger L. Bagula_, Jan 05 2004