Mark Snyder wrote:
>>Another interesting thing about this conjecture...
>>
>>If it is correct, then there is no last prime.
>>
>>---
>>William Stuart ([EMAIL PROTECTED])
>
>Not clear. Why couldn't you have a largest prime, and then all even numbers
>are just different sums (with particular primes used more than once, of
>course) of all those (finite number of) primes? Then you would have a
>finite number of primes "generating" an infinite number of even numbers.
>Sort of like seeing even numbers as vectors in a space, with the primes
>being the basis vectors.
>
>But anyway, it's a bad idea to use an unproven conjecture as a basis for a
>new proof of the infinitude of primes....
>
>
>mark snyder
>fitchburg state college
Suppose that X is you so called largest prime, then 2 times X + 2 can never
be written as the sum of just two primes (as opposed to what the Goldbach
conjecture claims) . Therefor an infinite number of primes is required
as a consequence of Goldbach's conjecture.
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Benny Van Houdt,
University of Antwerp
Dept. Math. and Computer Science
PATS - Performance Analysis of Telecommunication
Systems Research Group
Universiteitsplein, 1
B-2610 Antwerp
Belgium
email: [EMAIL PROTECTED]
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