quasi
Posts:
12,046
Registered:
7/15/05


Re: A finite set of all naturals
Posted:
Aug 13, 2013 1:15 AM


Nam Nguyen wrote: > >More than once, I was asked what the difference between the >Goldbach Conjecture and its weaker form that an odd number >greater than 7 is the sum of three odd primes. > >The point is though the essences of the 2 conjectures are >drastically different: _an odd number can not be defined >without addition_ while an even number can (as per Def03b >above).
Consider the following statements:
GC_2: All sufficiently large even numbers can be expressed as the sum of 2 primes.
GC_4: All sufficiently large even numbers can be expressed as the sum of 4 primes.
GC_6: All sufficiently large even numbers can be expressed as the sum of 6 primes.
etc ...
It seems you claim to have proved:
"It impossible to know whether or not GC_2 is true."
Would your proof method also suffice to prove the same for GC_4? For GC_6? etc?
quasi

