## Fig. -1

All prime numbers -except “2” & “3”-

are adjacent to a 6-fold.

By not being adjacent to a 6-fold

the little group consisting of “2” & “3”

constitutes an entirely different species of primes.

For this reason none of the spirals in this site

contain these numbers, since their presence

muddles the geometric pattern.

This can be seen in the spiral at left

where they are included, color-coded purple.

All the spirals in this site, including the one in Fig. -1,

have “0” as the spiral origin instead of “1” because of

numerous advantages itemized in

“Spiral Origins”.

All these spirals

include “1” as an entry

since it is an adjacent of “0”,

which is a 6-fold since 0 x 6 = 0.

The presence of “1”

maintains the wholeness of the geometric pattern,

as can be seen by inspecting the spiral at left.

## Fig.-2

The numbers-stack in Fig. -2 also demonstrates

the detriments of including “2” & “3” and

the benefits of including “1” mentioned above.

###### Notes.

A formula to generate primes

-assuming such a formula exists-

would probably generate

only those primes that are

eachly adjacent to a 6-fold,

starting with “1” as the 1st. prime.

(“1” is adjacent to “0”, which is a 6-fold.)

It probably won’t include “2” & “3”

since neither are adjacent to a 6-fold,

thus being a different species.

###### Suggested number-definitions:

Prime number:

Any whole number larger than 4

that cannot be evenly divided by

any whole number besides itself

that is larger than 1.

Composite number:

Any whole number larger than 3

that can be evenly divided by

one- or more whole numbers besides itself

that is/are larger than 1.

Quasi prime:

(P = 1, 2, 3.)

A prime small enough

such that there is

no whole number “f”

such that 1 < f < P/2.

Actual prime:

(5 ≤ P < ∞)

A prime “P” large enough

such that there is at least

1 whole number “f”

such that 1 < f < P/2.

(With each prime “P” the inability

of each of the available

whole numbers such as “f”

to evenly divide into “P”

establishes the actual

primehood of “P”.)