In article <2ad61b7b-0c53-443b-a941-80f8037cfdbd@k8g2000yqb.googlegroups.com>, WM <mueckenh@rz.fh-augsburg.de> wrote:
> 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. > > Regards, WM
The sequence of last digits can contain no more than ten different digits which is less than the number of terms when there are more than ten terms. --
