12 Feb 07
Originally posted by XanthosNZif youy cant proove something, it is assumed false.
If you wish to state that it is unprovable you need to prove that this is the case.
And even if it is unprovable that doesn't mean it's false unless a counter example exists.
not all primes are known. so there is no proof.
12 Feb 07
Let's try this:
If ab=cd, then there exist integers x,y, z and t such that:
a=xz, b=yt, c=xt, d=yz. (one or more of these integers may be equal to 1).
Then a+b+c+d = xz+yt+xt+yz = x(z+t) + y(z+t) = (x+y)(z+t) which consists of two different integers, hence can never be a prime. Does that sound right?
12 Feb 07
1 edit
Originally posted by celticcountryIf you can't prove something, you assume nothing. Welcome to mathematics.
if youy cant proove something, it is assumed false.
There are a few conjectures out there that people think are probably true, but we can't prove. Fermat's Last Theorem used to be an example.
(Even if you can prove it's unproveable, you're still on shaky ground assuming it's false).
12 Feb 07
Originally posted by ilywrinMaybe I'm being stupid, but why is this true?
Let's try this:
If ab=cd, then there exist integers x,y, z and t such that:
a=xz, b=yt, c=xt, d=yz. (one or more of these integers may be equal to 1).
Then a+b+c+d = xz+yt+xt+yz = x(z+t) + y(z+t) = (x+y)(z+t) which consists of two different integers, hence can never be a prime. Does that sound right?
If ab=cd, then there exist integers x,y, z and t such that:
a=xz, b=yt, c=xt, d=yz. (one or more of these integers may be equal to 1).
12 Feb 07
Originally posted by XanthosNZAnd you are the only one in the whole world who is not an idiot?
You are also an idiot.
How lonely you must feel...
I don't mind you calling me an idiot, I know you too good for that.
But an apology to celticcountry would be appropriate.
12 Feb 07
Originally posted by FabianFnascelticcountry can go suck eggs. His posts in this thread earned him the title of idiot, did you read them?
And you are the only one in the whole world who is not an idiot?
How lonely you must feel...
I don't mind you calling me an idiot, I know you too good for that.
But an apology to celticcountry would be appropriate.
12 Feb 07
Originally posted by Fat LadyThat was my first thought. On second thought I think it is true, but it isn't obvious.
Maybe I'm being stupid, but why is this true?
If ab=cd, then there exist integers x,y, z and t such that:
a=xz, b=yt, c=xt, d=yz. (one or more of these integers may be equal to 1).
If you define x as the product of the prime factors of a that it shared with c, and y as the product of the prime factors of b that it shares with d...
...and then you can define z and t by a = xz and b = yt...
...then I think that you can show that c = xt and d = yz. But I haven't worked it through fully yet.
12 Feb 07
1 edit
Originally posted by XanthosNZYes, I did, and he is cleverer than the most people of this earth.
celticcountry can go suck eggs. His posts in this thread earned him the title of idiot, did you read them?
You didn't like when I call you social incompetent, do you think he likes to be called an idiot? This is the flaw in your personality that I call lack of emotional competence.
Now you force me to show for everybody your lack of social competence and lack of emotional competence.
How does it feel to be without both social and emotional competence?
Now, now, just say "I apologize, I was stupid to say that" to celticcountry? Just to show that I am wrong in the personality analyze of you?