# Re: PROOF THAT THERE ARE AN INFINITY OF PRIMES!!!!!!!!!!!!!!

Álvaro Begué wrote:
Rouben Rostamian wrote:
In article <pcXIf.45051\$d5.201459@xxxxxxxxxxxxxxx>,
NILS BÖRJESSON <borje@xxxxxxxxxxxx> wrote:

PROOF THAT THERE ARE AN INFINITY OF PRIMES!!!!!!!!!!!!!!

I WILL NOW CONSTRUCT TWO NEW PRIMES:

11 2 1:S
11111 5 1:S

Your CAPS-LOCK key works real well but your math doesn't:

11111
[...]
However, I wonder how he proves that this procedure will always
generate numbers that are not divisible by the existing primes in the
list. It was already pointed out that if you start with 2 and 3, this
doesn't work on the first step. What makes it work with 2 and 5?

Well, it doesn't. 11111 is divisible by 41. But how would you show that
it always DOES if you start with two primes p and q?

--- Christopher Heckman

.

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