Page 47 of 47 [697 Posts] Goto page: Previous 1, 2, 3, ..., 45, 46, 47  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
Author Message
erekose
WOW!

Thats a puzzle, and it's hard to think how they're going to make one harder than that. Tempting to try to solve though...

(erekose puts puzzle on list of things to do, right after 'formulate Unified Field Theory')

On second thought, given this puzzle, asking us to solve the holy grail of physics would be easy.

Posted: Thu Jul 14, 2005 8:57 am
JebJoya
WHAT THEflippity floo?!

I joked about this being a card on IRC last night. This is being researched by hundereds of mathematicians all over the world, for a good popular science (readable maths) book on it, try "Dr. Riemann's Zeros" by Karl Sabbagh.

Right, for some more detail:

sum to infinity (1/n^s)

so 1/(1^s) + 1/(2^s) +....

n^s = n^(p+qi) = (n^p)(n^qi)

= (n^p) * (e^ (qi*ln(n)))

and then to take 1/(n^s) = n^(-s)

= (n^-p) * (e^(-qi*ln(n)))

so we've got to find the sum (n->inf) of the above equation, and prove that this can only equal 0 if p=(1/2) (that's minus a couple of special cases, i believe...)

of course, here we have re^(i*theta), which creates a vector in an argand diagram, which of course you can add to by adding nose to tail of the vectors. The length of the vector is (n^-p), and the direction of the vector is (-qi*ln(n)) radians.

That's some junk to look at

Jeb

EDIT - uhhhh, changed two words so that they weren't quite as glaringly... swearlike... - SG

Posted: Thu Jul 14, 2005 8:34 am
Flidget Jerome
And all I can think is "Take that, Where.gif!"

Posted: Thu Jul 14, 2005 8:31 am
dusty2229
Not quite sure what this is asking us to do
BTW it's worth a mere 60 points

Posted: Thu Jul 14, 2005 8:25 am
cassandra
And exactly how many Perplex City points is this one worth?

Posted: Thu Jul 14, 2005 8:23 am
Flidget Jerome
Is that asking us to solve what I think it's asking us to solve? It looks pretty straight forward, but also insane.

Posted: Thu Jul 14, 2005 8:23 am
dusty2229
[Puzzle] Silver #238 Riemann

Prime numbers are numbers that cannot be divided by any other number except themselves and 1. For example, 2, 3, 5, 7, 11, 13 and 17 are all prime numbers. Aside from their theoretical interest, large prime numbers have become increasingly important in day to day life since they underpin the cryptography that allows secure transactions to take place on the internet (such as encrypting your credit card details when you buy online).
While there are standard techniques to discover new primes, and more importantly, check whether a number really is a prime, mathematicians have not been able to discover if there is any order to the way in which primes are distributed. However, the German mathematician G.F.G. Riemann (1826-1866) noticed that the frequency of primes is highly related to the Zeta Function, now known as the Riemann Zeta Function.

[EQUATION]

The Riemann Hypothesis is that “ The real part of any non-trivial zero of the Riemann Zeta Function is ˝.” It sounds complicated (and it is!) but a lot rests on whether his hypothesis is true. There are many equations in abstract mathematics that have been solved on the assumption that the hypothesis is true – and if it isn’t, then not only would we have to look at those equations again, but it would also imply that there is a certain order to primes.

(As of 2004, the largest known prime was 7235733 digits long!)

BOTTOM RIGHT:
\$1,000,000 prize offered upon solving this puzzle see
http://www.claymath.org/millennium/Riemann_Hypothesis/

TEXT BOX ON REVERSE MAP:

PERPLEX CITY ZOO
The Perplex City Zoo in Polygon Park was established in 75AC after the closure of the Old Town Zoo. The zoo houses a wide range of land animals but lacks the facilities for birds or large marine animals However, it remains a popular attraction of Perplex City, no doubt in part due to its collection of tretretretres
 #238 Riemann (front).jpg Description Filesize 11.79KB Viewed 970 Time(s)
 #238 Riemann (back).jpg Description Filesize 8.84KB Viewed 9200 Time(s)

Posted: Thu Jul 14, 2005 8:17 am
 Page 47 of 47 [697 Posts] Goto page: Previous 1, 2, 3, ..., 45, 46, 47  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47