After the number 2.......................4 and 6 are the 1st two non primes period........................2, 3, 5, are all prime..............1 seems an imp. number..........but according to mathematicians is not prime...........a prime is defined as a whole number that is divisible by itself and 1..............so........from there ........the 1st two numbers............that are not prime .............are 4 and six...................from 1 to 7........the primes outnumber the non primes.........u have 3 primes and two non primes..................with 7, yet another prime.......u have 4 of them.................but only two non primes........................4 primes ............2 non primes.............................double the number of non primes.............flipped............1/2..............2 over 4..............is 1/2..................................from 7 to 11........is a jump of four.....................patterns galore..........

I am seeing more of why Gauss might have remarked.............."u have no idea how much poetry there is in a table of logarithms".......................

The first constant[edit]

The first Feigenbaum constant is the limiting ratio of each bifurcation interval to the next between every period doubling, of a one-parameter map

${\displaystyle x_{i+1}=f(x_{i}),}$

where f(x) is a function parameterized by the bifurcation parameter a.
It is given by the limit^[2]

${\displaystyle \delta =\lim _{n\to \infty }{\frac {a_{n-1}-a_{n-2}}{a_{n}-a_{n-1}}}=4.669\,201\,609\,\ldots ,}$

where a_n are discrete values of a at the n-th period doubling.
According to (sequence A006890 in the OEIS),