On 13/04/2012 10:45 AM, Frederick Williams wrote: > Nam Nguyen wrote: > >> An equally impossible-to-answer kind of question would be this one: >> >> Is it true that if there exists a finite set of sum-of-2-primes even >> numbers, then there exists an infinite set of such even numbers? > > There is certainly an infinite set of even numbers each of which is the > sum of two primes. So it seems to me that > > If there exists a finite set of sum-of-2-primes even numbers, > then there exists an infinite set of such even numbers. > > is true.
My bad. You're right. (Thanks). I've kept forgetting such triviality that there are infinitely many such even numbers.
It should have been:
>> Is it true that if there exists a finite set of counter examples of >> Goldbach, then there exists an infinite set of such even numbers?
-- ---------------------------------------------------- There is no remainder in the mathematics of infinity.
