Prime succession

N+=PR

Set of natural numbers that cannot be divided by other numbers others than themselves.

PRn=3+2ñ

Number 2 is the only even prime number, since the remaining succession of even numbers (2n) is multiple of 2.

Number 3 is established as the beginning of the odd prime numbers succession, since the difference between two prime numbers is of at least 2 units. Number three holds n=0 in the succession.



ñ≠3(n'a)

As far as the location of the term coincides with a multiple of 3, the result would be a compound number.
n'a indicates the place that this compound number holds within the succession of odd compound numbers of the original prime number (3).



ñ≠3(n'a) + PR(n'b)-3
.............------------
...................2

As far as the location of the term coincides with a multiple of 3 plus as many even numbers that exist between number 3 and another prime number, the resulting succession would be a compound number of the prime number in question.
n´b indicates the place that this compound number holds within the succession of odd compound numbers of the aforementioned prime number (when n'a does not equal 1 and n'b equals 1, the result is a prime number.)

explanatory tables

generated numbers

database used for the generation