Re: The 3n+1 Conjecture


Robert J. Kolker wrote:
> mensanator@xxxxxxxxxxx wrote:
> >
> >
> > Can you prove there are an infinite number of primes without
> > having to list them?
>
> Yes. The assumption that there is a largest prime leads to a contradiction.

Does the inability of Feinstein to be able to find every possible m
lead to a contradiction?

>
> Bob Kolker

.

Relevant Pages

  • Re: BD attempts; #100; 2nd ed; Euclids Infinitude of Primes..
    ... Bill Dubuque wrote: ... into the Infinitude of Primes proof, in order to prove Twin Primes. ... that math induction or descent for infinitude of primes is erroneous. ... proof by contradiction. ...
    (sci.math)
  • Re: Review of Mueckenheims book.
    ... contradiction, ... Euclid did not do that here. ... Blah blah blah ... ... This CONTRADICTS the above assumption that S is the set of all primes. ...
    (sci.math)
  • Re: Review of Mueckenheims book.
    ... contradiction, ... And as Euclid says himself: ... Blah blah blah ... ... This CONTRADICTS the above assumption that S is the set of all primes. ...
    (sci.math)
  • Re: Review of Mueckenheims book.
    ... >> It would be a proof by contradiction, if there is an initial assumption ... assumption that there is a finite number of primes. ... (Of course, all this is only correct, if reals actually ... >> And you are stating here that a well-ordering can not be defined in ZFC. ...
    (sci.math)
  • Re: Review of Mueckenheims book.
    ... The above page attributes to Euclid the ... theorem "there are infinitely many primes". ... So the original statement was not by contradiction. ... that the number of primes is infinite". ...
    (sci.math)