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Re: CVS commit: src/games/factor

On Tue, May 18, 2010 at 01:50:01AM +0400, Aleksej Saushev wrote:
> Joerg Sonnenberger <> writes:
> > On Tue, May 18, 2010 at 12:35:16AM +0400, Aleksej Saushev wrote:
> >> >> It is easy to see that there exist numbers
> >> >> which occur in any their factorization. These are called "prime" 
> >> >> numbers.
> >> >
> >> > That's not the definition of prime elements algebra uses, which is the
> >> > relevant field here. The algebraic definition of prime explicitly
> >> > excludes units.
> >> 
> >> There's no algebra here, it is arithmetics, algebra may be relevant here,
> >> but it isn't to a large extent.
> >
> > The arithmetic definition of prime doesn't agree with you either.
> Who told that? Please, avoid referring to "I was taught this way and
> refuse to learn anything else." What is the basis under definition you use?

I gave my definitions. I have no clue where you get yours from. All you
are doing is "There are other ways to define this". The two definitions
I gave and which you continue to ignore are those accepted in the field
of math. One of them is the fundation of classic arithmetics, the other
of modern number theory. I have seen no reason why using "Saushev
primes" would be better.

> You have stripped part of question to make it easier to attack.
> I didn't hear any rationale for your rejection of 1 and 0 as prime numbers.
> I count it as you don't have any.

See above. I stripped away all the irrevelant parts as they are not even
worth discussing as long as there is no agreement on the most basic
properties of the topic in question.


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