Figure this one out...

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Re: Figure this one out...

Postby (=DK=)Samonuh » Sun Jul 29, 2012 7:41 pm

I'll stick to answering problems that have actual meaning in the real world.
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Re: Figure this one out...

Postby kjeopardy » Sun Jul 29, 2012 7:43 pm

(=DK=)Samonuh wrote:I'll stick to answering problems that have actual meaning in the real world.


That's your prerogative :mrgreen: .
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Re: Figure this one out...

Postby Darth Crater » Sun Jul 29, 2012 7:53 pm

I worked out that X couldn't be larger than 48 by looking at the divisors of p=5, 7, and 11. I then got about halfway through writing a script to brute-force check X=48 against the first 500 primes before getting distracted and having to leave. That would've given me a "good enough" solution, though certainly not a proof.
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Re: Figure this one out...

Postby kjeopardy » Sun Jul 29, 2012 8:36 pm

Darth Crater wrote:I worked out that X couldn't be larger than 48 by looking at the divisors of p=5, 7, and 11. I then got about halfway through writing a script to brute-force check X=48 against the first 500 primes before getting distracted and having to leave. That would've given me a "good enough" solution, though certainly not a proof.



Of course it's not a proof, but its's pretty strong evidence. I posted a proof on the previous page, you can check it.
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Re: Figure this one out...

Postby Darth Crater » Sun Jul 29, 2012 9:11 pm

Yeah. The problem is that, while it's certainly strong evidence, mathematically speaking it's useless. I wouldn't have done that if I could come up with a proof in the first place. I guess it's showing that I did all my higher math in high school and spent the last 4 years dealing with logic, sets, and such rather than algebra, that I didn't even bother trying to factor it.
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Re: Figure this one out...

Postby kjeopardy » Sun Jul 29, 2012 9:31 pm

Darth Crater wrote:Yeah. The problem is that, while it's certainly strong evidence,mathematically speaking it's useless . I wouldn't have done that if I could come up with a proof in the first place. I guess it's showing that I did all my higher math in high school and spent the last 4 years dealing with logic, sets, and such rather than algebra, that I didn't even bother trying to factor it.



It's funny, I know. Practically anything in math done by computer is useless, since a computer can only check a finite number of cases, and we want to know that p^4-1 is divisble by 48 as p tends to infinity.

What profession/field are you in if you deal with sets and logic and such?

I'm just a high school student, and I may plan to pursue a career in math. I would assume you know stuff like Cantor's Diagonal Argument, bijections between infinite sets, etc.


Regards,
3.1415926535...
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Re: Figure this one out...

Postby Darth Crater » Sun Jul 29, 2012 9:39 pm

I've just finished a Computer Science degree. So, yes, I did sets, countability, etc more recently than algebra or calc. I remember them better, though I haven't used them all that much since. I get the most use out of things like propositional logic.
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Re: Figure this one out...

Postby kjeopardy » Sun Jul 29, 2012 9:45 pm

Darth Crater wrote:I've just finished a Computer Science degree. So, yes, I did sets, countability, etc more recently than algebra or calc. I remember them better, though I haven't used them all that much since. I get the most use out of things like propositional logic.


I don't really know what propositional logic is, so I can't discuss that :cursing:. What do you do as a computer scientist?
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Re: Figure this one out...

Postby (SWGO)Kren » Mon Jul 30, 2012 12:42 am

Reminds me of the hitchhikers guide to the galaxy all these questions...

Look at the past to improve the future.
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Re: Figure this one out...

Postby kjeopardy » Mon Jul 30, 2012 1:36 am

(SWGO)Kren wrote:Reminds me of the hitchhikers guide to the galaxy all these questions...



This post is the first step in turning my beautiful mathematics column into a slowly degenerating thread for nonsense :mrgreen: .
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