On 23 Feb., 22:48, Nam Nguyen <namducngu...@shaw.ca> wrote: > On 23/02/2013 2:38 PM, Virgil wrote: > > > In article > > <f3b2ce4b-c9ec-447f-92b4-47a07a2e2...@5g2000yqz.googlegroups.com>, > > WM <mueck...@rz.fh-augsburg.de> wrote: > > > In mathematics [...] proofs of existence do > > not always require that one find an example of the thing claimed to > > exist. > > So, how would one prove the existence of the infinite set of > counter examples of Goldbach Conjecture, given that it does not > "not [...] require that one find an example" of such existences?
It there was a logical necessity of a counter example, this necessity was the proof. However, I don't see a necessity in this case. So I have no proof.
But I see a logical necessity, that the sequence of all last digits of the terms of a sequence like the following
1 1, 2 1, 2, 3 ...
does neither contain more digits neither less digits than there are terms of the sequence.