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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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baf
Boot

Joined: 29 Mar 2006
Posts: 46

x wrote:

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


There's actually a pretty simple reason for this.

Consider the remainder when you divide a number by six.
If it's 0, 2, or 4, the number is even. So it can't be prime.
If it's 3, the number is divisible by 3. So it can't be prime.
So if it's prime, the remainder must be either 1 or 5.
Therefore, every prime number is either one greater than a multiple of six, or one less than a multiple of six.
Thus, the only way for two primes to differ by two is for them to be on opposite sides of a multiple of six.

I wouldn't read too much into it if I were you.

PostPosted: Wed Mar 29, 2006 5:24 pm
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CherokeeParkes
Decorated


Joined: 03 Nov 2005
Posts: 236
Location: Belfast, Northern Ireland

I have a question has anyone examined the LaTeX program that is meantioned in the letter?

PostPosted: Wed Mar 29, 2006 6:59 pm
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dps05
Boot


Joined: 25 Jan 2006
Posts: 47
Location: Aberystwyth

I've been using LaTeX to write reports for Uni for the past couple of months. It is just a typesetting / formatting programme - you write the commands in in plain text (with lots of \s , {}s and _s), then turns it into a .PS or .PDF - making it look all professional-like. Smile

You can find it and download it for free here. But I think you need the packages that go with it from here.

And there are some handy tutorials
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PostPosted: Wed Mar 29, 2006 8:06 pm
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JebJoya
Unfettered


Joined: 13 Apr 2005
Posts: 679
Location: UK

DISCLAIMER: This post was written when I was VERY tired, and has little or no actual content, however there might be something in there useful to somebody.

Also, anyone that actually needs to use LaTeX, I used this guide here to teach me, it's really simple - honestly!
$$\zeta (s) := \sum_{r=1}^{\infty } s^{-r}$$
You see, not that difficult really! (Okay, that was kind of off the cuff and I don't know if it's all correct, but you see my point!)

Honestly, with this card I feel that either what MC have said should be taken at face value - i.e. "prove it... oh, you can't? nah nah nah nah nah!" or else there is a clue somewhere in there.

As other people have suggested, we could enter the Perplexian who proved it's name, or name of his proof, satisfying

MC wrote:
give the name of an accepted proof to the hypothesis; name the author of an accepted proof to the hypothesis.


But, I thought that this is discounted by the next lines, HOWEVER on rereading it says

MC wrote:
Since, to date, no one on Earth has officially proved the hypothesis, we recommend that should you do so you should contact the Clay Maths Institute first in order to claim the $1m prize.


The "Since, to date, no one on Earth has officially proved the hypothesis" made me initially think it continues with "so you can't answer it!" or similar, but in fact just suggests that if we solve the card this way (by proving it) that we contact CMI first to claim the prize.

So, I've rambled for a bit, it's late and I'm tired so in conclusion, we have 2 options

1) Take MC's email at face value, assume there's no solve for the card, and put all our efforts into Shuffled / 13th Labour

2) Try to find some other way to think about what they're saying as a clue - my suggestion initially is to try to find which Perplexian Mathematician solved it - maybe sending a LaTeX'd up question to one of the academics (Sente, a puzzle scribe, Scarl...actually no. Not Scarlett....) will give us a direction to run in

Also note that I'm not suggesting that option 1 is bad, in fact putting more effort into the other cards for the time being might yield some quicker results (13th Labour need CPU time), but that maybe we haven't hit such a dead end after all.

Okay. This post was too long, I am VERY tired, had a long day doing not much (some maths project work for the beginning of next term - haven't even STARTED my essay on Fractals and Julia Sets yet, but that's another story...), if you don't want to read it, don't... In fact, I'm putting that as a disclaimer at the top... Yeah... That's a good idea...

Jeb

PS: Whoever said that maybe we should throw some ideas around about solving it, unless we have an expert in here who's been studying the area for 20 odd years *looks around hopefully* I don't think it'd do much good. For my 2 cents (stupid american lingo... Smile ), I wrote some stuff about it on the first page of this - basically you make some spirally type figures (well, that's my theory anyway, haven't actually tested it, they may not be spirals at all, but something like a spiral, mathematically speaking... And also, I'm not talking about a mathematical spiral either, just a spiral - like shape... So something that's kind of mathematically similar to a spiral like shape... I need sleep.
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PostPosted: Wed Mar 29, 2006 10:20 pm
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dps05
Boot


Joined: 25 Jan 2006
Posts: 47
Location: Aberystwyth

Nice one Jeb! Both the LaTeX link and the whole post (rambling as it was Wink ) I'm in no way a complex analyst, but if that's even what's needed to prove Riemann's hypothesis I'll give it a go! I'll also ask around my department (maths) when I get back next week - there are a couple of lecturers that dabble in that area.
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PostPosted: Thu Mar 30, 2006 11:16 am
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DJ FreeMason
Boot

Joined: 30 Mar 2006
Posts: 66

39 pages of backposts to read is a lot. But that's beside the point.

dps, if you can prove the Reimann function, then you will have done what no one else has, send it to the $1M people first then send it to MC.

I, personally, have to agree with JebJoya on this that either there is no solution, in which case the people at Mind Candy are just jerking us around, or they have the intention that someone in Perplex City has solved it.

Personally, I've been trying to see if I can get access to the Library services in Perplex City Acadamy. If there's any place that could have the answer that could. Unfortunately, I write this at my school's computer and they've disabled looking at the source code so it could be a dead end there and I'm just wasting time. I'm trying to think of any other places where the answer could be hidden.

PostPosted: Thu Mar 30, 2006 12:37 pm
Last edited by DJ FreeMason on Fri Mar 31, 2006 2:46 pm; edited 2 times in total
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Enigmaster
Decorated


Joined: 16 Nov 2004
Posts: 274
Location: Jersey, CI

This from PostSecret has some relevance, just after the 4th postcard:

Quote:
-----Original Message-----
Sent: Wednesday, March 15, 2006 2:32 PM
To: frankSPLATdocdel.com

I willingly withheld the greatest discovery in mathematics from the world...It is the solution to the Riemann Hypothesis...The Riemann Hypothesis is false. The prime number 2^13466971-1 is off the critical line.
--------------------------------


I don't have this card, is it any help?
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PostPosted: Thu Mar 30, 2006 5:08 pm
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x_x
Guest


Seems suspect but can anyone plug that number into the forumla to see if it qualifys as counter-proof?

My system cant seem to handle a number that large.

PostPosted: Fri Mar 31, 2006 12:46 pm
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DJ FreeMason
Boot

Joined: 30 Mar 2006
Posts: 66

Scratch the Library textfields as anything useful. They are hard coded to say "You're not supposed to see this." However, I found a chunk of javascript commented out of the page. I don't know Java so I can't understand what its saying. What little C++ I remember isn't helping. If anyone knows Java, I'm going to post the code below.

Spoiler (Rollover to View):
<!--







<!--
function MM_preloadImages() { //v3.0
var d=document; if(d.images){ if(!d.MM_p) d.MM_p=new Array();
var i,j=d.MM_p.length,a=MM_preloadImages.arguments; for(i=0; i<a.length; i++)
if (a[i].indexOf("#")!=0){ d.MM_p[j]=new Image; d.MM_p[j++].src=a[i];}}
}

function MM_findObj(n, d) { //v4.01
var p,i,x; if(!d) d=document; if((p=n.indexOf("?"))>0&&parent.frames.length) {
d=parent.frames[n.substring(p+1)].document; n=n.substring(0,p);}
if(!(x=d[n])&&d.all) x=d.all[n]; for (i=0;!x&&i<d.forms.length;i++) x=d.forms[i][n];
for(i=0;!x&&d.layers&&i<d.layers.length;i++) x=MM_findObj(n,d.layers[i].document);
if(!x && d.getElementById) x=d.getElementById(n); return x;
}

function MM_swapImage() { //v3.0
var i,j=0,x,a=MM_swapImage.arguments; document.MM_sr=new Array; for(i=0;i<(a.length-2);i+=3)
if ((x=MM_findObj(a[i]))!=null){document.MM_sr[j++]=x; if(!x.oSrc) x.oSrc=x.src; x.src=a[i+2];}
}

function MM_swapImgRestore() { //v3.0
var i,x,a=document.MM_sr; for(i=0;a&&i<a.length&&(x=a[i])&&x.oSrc;i++) x.src=x.oSrc;
}

//-->


PostPosted: Fri Mar 31, 2006 2:47 pm
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BrianEnigmaModerator
Entrenched


Joined: 05 Oct 2003
Posts: 1199
Location: Pacific Northwest

DJ FreeMason wrote:
However, I found a chunk of javascript commented out of the page.

That is pretty standard "boilerplate" JavaScript that gets prepended to most (all?) pages created in Macromedia's Dreamweaver software and, presumably, the Perplexian equivalent of Dreamweaver. Wink It pre-loads image caches in the background and helps facilitate things like buttons/images changing color when you roll the mouse over them.
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PostPosted: Fri Mar 31, 2006 3:13 pm
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DJ FreeMason
Boot

Joined: 30 Mar 2006
Posts: 66

Damn. I was hoping I was onto something.

I've been trying to think who could solve the Reimann sum in Perplex City. Has anyone contacted Sente to see if he has any ideas who would be intelligent enough to do it? I mean it can't really hurt. I can send one off.

As for the prime number, the number is exceedingly large. The beginning and ending digits (about 15000 digits each). The text file alone is 5.23 MB. And honestly, much as I'd like to trust the person that they're not lying, I have to question the validity of the post. The site that you listed had a number of joke things. Punching in the 2^13466971-1 into google gives 88 Xanga, Live Journal, and Google group pages that say "The Reimann sum is false". I haven't seen a single credible source for it. All I've seen is that the number is prime, nothing that disproves Reimann.

Calculating that the Reimann sum is false would require a program to be able to handle the whole of the number as well as be able to calculate it. I would think that since the number is 4053946 digits long, it would certainly take a lot of RAM and processor power.

PostPosted: Fri Mar 31, 2006 5:00 pm
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tarazades
Greenhorn

Joined: 03 Apr 2006
Posts: 5

The card states that the largest known prime as of 2004 was 7235733 this was discovered by josh findley, also Louis de Branges posted pages on the internet that prove the theory. Which can be found at Department of Mathematics, Purdue University. When you go to put your answer in on the perplexcity site it asks you to show your proof. Has anyone tried putting in the proof of that largest prime number quoted on the bottom of the card? I have had a quick look for this but can't find the proof.

PostPosted: Mon Apr 03, 2006 8:44 pm
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Bendover
Veteran


Joined: 06 Mar 2006
Posts: 111
Location: San Jose

you should go back and read at least the last 5-6 (really should do them all) pages to get an idea of where we are at with this card. if there is an answer it is going to be written (at least at this point) by Louis De Branges

PostPosted: Tue Apr 04, 2006 9:59 pm
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hexDa3m0n
Boot

Joined: 15 Dec 2005
Posts: 60
Location: Lancaster, England

DJ FreeMason wrote:
I've been trying to think who could solve the Reimann sum in Perplex City. Has anyone contacted Sente to see if he has any ideas who would be intelligent enough to do it? I mean it can't really hurt. I can send one off..

I have fired off a couple of e-mails, one to Prof Lanstrom (who is not a valid e-mail) and one to Sente, asking him to pass on the message for me to the Prof, and also if he has any ideas....
Quote:
Dear Professor Lindstrom,

I am fascinated to see the similarities between your world and mine, and was wondering if you could give me some more information about Groshniev's Theorem and what work you did on that?

I am also interested in what we Earth people call Prime Numbers, these being numbers that are only divisible by themselves and 1 (I'm sure you will not need any examples!!!) perhaps you could put me in touch with someone over there who is also working/ an authority on prime numbers?

Thanking you so much in advance for your time,


no response since sending it Monday.....

PostPosted: Wed Apr 05, 2006 7:37 am
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Sparkybuzzed
Greenhorn

Joined: 21 Dec 2005
Posts: 4
Location: Georgia, USA

Just saw this on the Perplex City Sentinel...

Mind Candy and the Academy have confirmed that card #238, Riemann, does require proving the Riemann Hypothesis.

Here's the link: Click Me

That's a bit ridiculous.[/url]

PostPosted: Thu Apr 06, 2006 5:15 pm
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