piclist 2017\09\06\143907a >
www.piclist.com/techref/index.htm?key=prime+numbers
BY : Sean Breheny email (remove spam text)

I am not 100% sure that your theorem is wrong, Isaac, but I think you are
making an incorrect assumption.

If I have two numbers A and B and I add them to produce C=A+B, and I then
have a number D, then:

if D divides A and D divides B THEN D divides C
However, just because D divides neither A nor B doesn't guarantee that it
doesn't divide C.
It IS true, though, that if D divides one and only one of A or B then it
does NOT divide C.

So, you cannot assume that the prime factors of Ptest=P1*P2*P3*P4*...Pn+2
are only from the set of {P1,P2,P3,...,Pn). There could be a prime factor
of Ptest which is larger than Pn.

Sean

On Wed, Sep 6, 2017 at 12:27 PM, Isaac M. Bavaresco <
isaacbavarescogmail.com> wrote:

{Quote hidden}

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