--- jcmtnez90 <

jcmtnez90@...> wrote:

> Looking at prime number you can see this relationship:

>

> Conjeture:

>

> "Any prime number can be written as the product of two primes plus or

> minus the difference between them."

>

> This means that at one(at least one) or more of these four

> relationships must be hold for every prime number:

>

> (Pb*Pa)+(Pb+Pa)

Pb+Pa is not the difference between Pa and Pb.

> (Pb*Pa)+(Pb-Pa)

> (Pb*Pa)-(Pb+Pa)

Ditto.

> (Pb*Pa)-(Pb-Pa)

>

> Pb>Pa And both primes,(To Be consecutive primes is not a requierement)

Care to disambiguate what you really mean before we invest effort in the wrong

one. Did you actually mean "plus or minus the sum of, or difference between,

them"

I don't know if you've noticed that

Pa*Pb+Pa+Pb = (Pa+1)*(Pb+1)-1

and similar expressions for +-, -+, --.

So you can check your conjecture by looking at product of numbers which are

primes+/-1.

Phil

P

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