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Si · Guest

Bombieri theorem

A verbal description of this result is that it addresses the error term in Dirichlet's theorem on arithmetic progressions, averaged over the moduli q up to Q. For a certain range of Q, which are around √x if we neglect logarithmic factors, the error averaged is nearly as small as √x.

This is quite unobvious, and without the averaging is about of the strength of the Generalized Riemann Hypothesis (GRH).

If you want to see the equation look up Enrico Bombieri on the Wiki and the equation is on there

**Posted:** Wed Dec 20, 2006 7:25 pm

Guest · Guest

**Posted:** Fri Dec 22, 2006 12:56 pm

themandotcom

**Posted:** Sat Dec 23, 2006 3:08 pm

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13th Labour!

ER123456 · Boot Joined: 01 May 2005 Posts: 15

Has everyone given up on this card?

I had some thoughts which I posted many months ago - and ignored. May I post them again?

1) There is a solution to this card - i.e. a piect of text to enter
2) It is not a proof of the Rieman Hypothesis (as the text box doesn't take formulae, and MC dont have a proof)

So the puzzle is to demonstrate that we have proved the hypothisis, rather than prove it.

**Posted:** Sun Feb 04, 2007 2:18 am

Bakers_12

MC have said in the past the you do need to prove the hypothesis to solve the card.

**Posted:** Mon Feb 05, 2007 4:37 am

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"Skip To The End"

Playing : Dark Knight, Find 815

fretty

**Posted:** Mon Feb 05, 2007 1:52 pm

Fuseunderground · Decorated Joined: 17 Dec 2005 Posts: 151

**Posted:** Tue Feb 06, 2007 12:42 pm

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Like your hero TJ Hooker you tackle challenges head-on with determination and vigour paying scant attention to the law. This devil-may-care attitude may work for fictional crimefighters but it can be counterproductive in real life.

sirichj · Veteran Joined: 15 May 2006 Posts: 85

But why would they want a card not solved? It doesn't interfere with the cube finding so I don't see the logic behind giving us a puzzle that will never be solved, unless Clay have paid them to feature it ?? Who knows.

Personally I don't like puzzles with no solution, it seems a little unfair especially as the cards are now selling for �50 plus with no solution? Come on MC at least give us a fighting chance

**Posted:** Wed Feb 07, 2007 3:00 pm

fretty

There might still be a solution, I think MC want us to think that there is no solution.

**Posted:** Sat Feb 10, 2007 4:08 am

sirichj · Veteran Joined: 15 May 2006 Posts: 85

I hope there are no cards like this in season 2, it's a little demoralising spending hours researching something that has no solution !

**Posted:** Sun Feb 11, 2007 11:09 am

aliendial

Why would you spend more than 10 minutes researching this card? I agree re 13th Labor and Shuffled which actually HAVE solutions that have not been found. The endless chatter about Riemann's, which has no solution, is effort better spent elsewhere.

**Posted:** Sun Feb 11, 2007 1:18 pm

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aliendial

sirichj · Veteran Joined: 15 May 2006 Posts: 85

**Posted:** Sun Feb 11, 2007 4:10 pm

Bendover · Veteran Joined: 06 Mar 2006 Posts: 111 Location: San Jose

Riemann

**Posted:** Mon Feb 12, 2007 2:41 am

x · Guest

**Posted:** Mon Feb 12, 2007 11:15 am

Astrix · Boot Joined: 18 Feb 2007 Posts: 11 Location: Canada

Being a late joiner to PXC, I haven't had anything worthwhile to add to these forums yet that hadn't seemed to have already been written; but I don't like being labelled a lurker, so decided I had to write something, anything, and hopefully that will change my posting tag.

"What is the secret message? (The reward is the satisfaction of knowing the answer)." That said, I have to believe that there is an answer to this puzzle and that MindCandy didn't sneak an unsolvable card into the game.

The quote, by the way, is from the Clay Mathematics Institute website, in a section called Prime Numbers and Cryptography. On the same page they have their own puzzle: http://www.claymath.org/posters/primes/

**Posted:** Sun Feb 18, 2007 9:10 pm