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 Forum index » Diversions » Perplex City Puzzle Cards » PXC: Silver Puzzle Cards
[Puzzle] Silver #238 Riemann
Moderators: AnthraX101, bagsbee, BrianEnigma, cassandra, Giskard, lhall, Mikeyj, myf, poozle, RobMagus, xnbomb
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Jakeo
Decorated

Joined: 30 Aug 2005
Posts: 159
Location: Edinburgh

For those who thing this sort of thing is impossible,

http://www.sci-tech-today.com/news/Swede-Wins-Abel-Mathematics-Prize/story.xhtml?story_id=11300BSASHFI

"Swedish mathematician Lennart Carleson won the 6 million kroner (US$925,000, €750,000) Abel Prize on Thursday for proving a 19th century theorem on harmonic analyses."

PostPosted: Mon Mar 27, 2006 7:06 am
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Guin
Unfettered


Joined: 11 Jan 2006
Posts: 400
Location: Antartica

Jakeo wrote:
For those who thing this sort of thing is impossible,

http://www.sci-tech-today.com/news/Swede-Wins-Abel-Mathematics-Prize/story.xhtml?story_id=11300BSASHFI

"Swedish mathematician Lennart Carleson won the 6 million kroner (US$925,000, €750,000) Abel Prize on Thursday for proving a 19th century theorem on harmonic analyses."


I like the part that says:

Quote:
Working on the unproven Lusin conjecture from 1913, Carelson made a breakthrough in 1966.


and

Quote:
It said the proof of the result was so difficult that it remained separate from the mainstream of harmonic analysis for nearly three decades. Only in the past decade have mathematicians understood the theory and put it to work.


40 years - sounds fun
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PostPosted: Mon Mar 27, 2006 7:28 am
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dps05
Boot


Joined: 25 Jan 2006
Posts: 47
Location: Aberystwyth

Look forward to seeing you all in 2046 for the 'we've-solved-Riemann-at-last-party!' as I intend on calling it. Laughing
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PostPosted: Mon Mar 27, 2006 8:03 am
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Lazarus
Boot


Joined: 29 Oct 2004
Posts: 19
Location: Weymouth, U.K.

Looks like someone's got a *bit* closer to proving it...

http://www.seedmagazine.com/news/2006/03/prime_numbers_get_hitched.php?utm_source=seedmag-main=rss

PostPosted: Mon Mar 27, 2006 11:38 am
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hairysocks
Boot


Joined: 09 Jan 2006
Posts: 38
Location: Exeter, Devon, England

Since our recent clues from MC mention that nobody on Earth has proved the Riemann hypothesis, I've decided to see if our new found alien friends living in Perplex City have proved it - of course, it wouldn't be called the "Riemann" hypothesis over there, unless by some very weird case of parallel evolution there was a mathematician there call Riemann who came up with an identical hypothesis (!) But even so, he may have been called Colin Riemann...

Anyway, I sent this email to Professor Kiteway to see if he can help us:

Quote:
Dear Professor Kiteway,

Since your planet has started to contact us earthlings I expect you've had quite a culture shock coming to terms with the differences between our societies. As I'm sure you are aware our civilisations on Earth have constantly striven to understand the meaning of our existance, and to explain the physical universe in which we find ourselves. Now that we know we are not the only planet with evidence of civilisation I am sure there are many academics, theologians, politicians and scientists on both our worlds who would love to share our experiences and knowledge, and explore those areas where one planet has developed further or not as far as the other. To understand why such deviations in the evolution of civilisations occur would give both our societies a deeper understanding of our own roots, and possibly may reveal some shared ancestry (after all, you do look remarkably human, and your buildings look just like ours).

To such an end, may I humbly ask if your society has solved any of these great mystries which have baffled us for centuries. Of course, you may not know these problems by the names given here, but your academics will no doubt be able to determine your society's equivalents. They are (in no particular order of importance):

1. Why are there just 7 colours in the visible spectrum?
2. The proof of the Riemann Hypothesis (known, no doubt, to you by another name).
3. Why are cats cute but crocodiles are scary.
4. Why do buses always travel in groups, not nicely spread out?

If your society has the answer to any or (preferably) all of these questions I would be most grateful if you could share them with me so I can pass the answers on to the appropriate people. If you could also include the name of the researcher or philosopher or scientist or theologian who has solved each problem then we will be able to correctly credit the solution to our new interplantary friends.

Thank you for your time.

Yours faithfully
"hairysocks"

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PostPosted: Mon Mar 27, 2006 4:36 pm
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x
Guest


Well im not so sure about 1 and 2 being of any use. But 3... omg thats the solution question for sure.

I mean seriously ... Why the heck ARE they SO cute?

What i really want to know though is. If a crocodile eats a kitten, does it become cute by absorption. And would this cause a paradox in reality that would cause the universe to implode?

Now thats the real question here.

PostPosted: Tue Mar 28, 2006 11:43 am
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X
Guest


Hmm this seems recent and very important. Quantum Physics AND Number theory.

So in that light maybe we should dig up some more on this "the moments of the Riemann zeta function." thing.

Id like to find an explanation about why the order is 1, 2, 42. And what that means exactly.

Its funny that 42 is such an important number. 420 is the california code for possession of Marijuana, 4/20 is Hitlers birthday, 42 is also the meaning of life, and apparantly the third "Moment" in the Zeta Function.

PostPosted: Tue Mar 28, 2006 12:01 pm
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x
Guest


This paper is interesting:
http://www.combinatorics.org/Volume_10/PDF/v10i1r24.pdf

PostPosted: Tue Mar 28, 2006 12:18 pm
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x
Guest


And again another good but long and cluttered paper:
http://www.mfo.de/programme/schedule/2004/39/OWR_2004_46.pdf

PostPosted: Tue Mar 28, 2006 12:20 pm
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x
Guest


I was browsing this file: http://primes.utm.edu/lists/small/1000.txt

And i noticed a pattern that no one has mentioned. Its very odd no one has said this.

Check out the Twin Primes, Seperate them from the list. then look at their twin base. Each base is divisible by 6. (with the exception of 3(4)5) but again because this is before 6 in the set, it makes sense. 2x2 (+-)1

5(6)7 11(12)13 17(18)19 29(30)31 41(42)43
59(60)61 71(72)73 101(102)103 107(108)109
137(138)139 149(150)151 2111(2112)2113 5849(5850)5851

... This seems like it means every prime has pieces of primes before it as part of its calculation. 6 twins are 2x3 (+-)1, 12 twins are 2x2x3 (+-)1
18.. 2x3x3 (+-)1 ...2x3x5 (+-)1 ...2x3x7 (+-)1, we are logically adding primes each time. its like octet or binary system. only our base is ... the prime set. Using prime numbers to determine other prime numbers.

So most of the prime numbers we find should be able to be used to determine the next set of prime numbers. Somehow. Perhaps we could use a huge prime twin set, break it down to its prime parts and add the next prime into the calculation to determine the next prime.

Does this seem flawed?

PostPosted: Tue Mar 28, 2006 12:59 pm
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xxx
Guest


Another interesting fact about Prime twins. ... they have one of 3 forms.

xxx1, xxx3 - xxx7, xxx9 - and xxx9 , xxx1

for instance, 29, 31 - 599, 601 - 1949 , 1951 BASE - 0
and 11, 13 - 821 , 823 - 1871 , 1873 BASE - 2
and 17, 19 - 827, 829 - 1487, 1489 BASE - 8

And thats it. There are no other bases, as far as i can tell.

It cant be 4 because that would leave half on xxx5 which is divisible by 5.
Same can be said of 6. half lands on 5. same issue as above.

but this makes some sense. All primes end with 1, 3, 7 or 9.

...
ill aplolgize for not sticking this all in one post, ive been mulling ideas over in my head at work. When i notice something im posting it. Sorry bout the multi posting.

PostPosted: Tue Mar 28, 2006 3:00 pm
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oliverkeers13
Entrenched


Joined: 23 May 2005
Posts: 917
Location: London, UK

Yet another reason for using your account is the ability to edit posts, preventing the above from happening.
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"To be in opposition is not to be a nihilist" CH
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PostPosted: Tue Mar 28, 2006 3:15 pm
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xxx
Guest


Dear Oliver,

Care to lecture me more?

Do you ever post something that isnt an
attack on somones methods or decisions?

Im aware of editing posts Oliver. ... Ill still do it this way until
I trust the people i post with. Too many folks on these boards i
dont trust. Not enough pure helpers, and friendlies. Too many
people who just find problems with every other post.

-X

PostPosted: Tue Mar 28, 2006 4:37 pm
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Juxta
Unfettered

Joined: 28 Aug 2005
Posts: 675

For what it's worth, Oliver isn't the only person who thinks that guest posting is a royal pain in the backside. Six, almost consecutive, posts on one topic? That's just extracting the urine. For goodness sakes, get over yourself, get an account. If you're desperately afraid of someone saying something terrible to you in a PM, then my suggestion is....don't....click...on...your...inbox. I think that most people here, if they have something to say, generally say it to your "face". Who knows, you might even find that people here don't actually torture small puppies for fun.

Yeesh. Rolling Eyes

J
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PostPosted: Tue Mar 28, 2006 5:18 pm
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xxx
Guest


Do we have any conversation about Reimann? ... somone post something about primes. or some forumlas, lets talk math...

please.

PostPosted: Wed Mar 29, 2006 4:16 pm
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