[105780] in Cypherpunks
Re: More Goldbach's Conjecture
daemon@ATHENA.MIT.EDU (Igor Chudov @ home)
Fri Nov 20 13:02:15 1998
To: ravage@EINSTEIN.ssz.com (Jim Choate)
Date: Fri, 20 Nov 1998 11:42:08 -0600 (CST)
Cc: cypherpunks@EINSTEIN.ssz.com
In-Reply-To: <199811200702.BAA09369@einstein.ssz.com> from "Jim Choate" at Nov 20, 98 01:02:41 am
From: ichudov@algebra.com (Igor Chudov @ home)
Reply-To: ichudov@algebra.com (Igor Chudov @ home)
Jim Choate wrote:
>
>
> Well there are two more definitions, from the same book [1], that are not
> equivalent:
>
> pp. 335
>
> For all natural numbers x, if x is even, non-zero, and not 2, then there
> exist prime numbers y and z such that x is the sum of y and z.
>
> pp. 673
>
> ...every even number, n>6 (it at least takes care of my question about 4),
> is the sum of two odd primes.
These conjectures are equivalent for numbers > 6. I think that the
discussion of whether numbers 4 and 6 can be expressed as sum of
two primes is completely uninteresting.
Also, since 6 = 3+3, I question why they put strict inequality (> 6)
in the definition on p 673. I think that they could say n > 4. Not that
it matters in any respect.
So I do not see them as "substantially" different, and the difference
between these conjectures does not lead us to any profound thoughts.
- Igor.
