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Search: Posts Made By: Crook
Forum: Math 2005-12-07, 19:47
Replies: 1
Views: 1,296
Posted By Crook
Why zeta(-2n)=0 ?

I know this wouldn't even deserve to be posted, but could someone explain me why zeta(-2n)=0 ? Regards.
Forum: Software 2005-11-25, 13:12
Replies: 11
Views: 1,591
Posted By Crook
I need to verify, for instance, if (17^64-1)/24...

I need to verify, for instance, if (17^64-1)/24 is an integer. Just an example. Does GMP provide me this feature?
Forum: Software 2005-11-23, 11:24
Replies: 11
Views: 1,591
Posted By Crook
Need to verify if big numbers are integers

I need to see if big numbers, for instance greater than 10^12, are integers? VB6, C++ and the others don't offer this possibility. Could you indicate me some useful programs? Thanks.
Forum: Math 2005-11-16, 15:42
Replies: 5
Views: 1,058
Posted By Crook
I thought the question was clear enough. I'm...

I thought the question was clear enough. I'm asking some general informations about the relation between these 2 functions. For instance, sigma(n)/d(n). I'd be interested in both the average order...
Forum: Math 2005-11-16, 15:34
Replies: 5
Views: 1,058
Posted By Crook
And what is the relation between these 2...

And what is the relation between these 2 functions?
Forum: Math 2005-11-16, 15:28
Replies: 5
Views: 1,058
Posted By Crook
Relation between divisor functions

Does anybody know anything about the relation between sigma(n) and d(n) and about sigma(n)/d(n)?
Forum: Math 2005-10-26, 13:32
Replies: 3
Views: 947
Posted By Crook
P(n+1)<(sqrt(P(n))+1)^2

Let P(n) denote the n-th prime number. Then, does anybody have an idea why P(n+1)<(sqrt(P(n))+1)^2 is true? This would be a lower bound than the Tchebycheff result that there is always a prime...
Forum: Puzzles 2005-02-18, 17:33
Replies: 60
Views: 4,994
Posted By Crook
I have a solution of the problem. If someone is...

I have a solution of the problem. If someone is interested I can post it.
Forum: Math 2005-01-14, 15:38
Replies: 5
Views: 1,293
Posted By Crook
In my humble opinion I think this would be wasted...

In my humble opinion I think this would be wasted time.. OPN just don't exist. Or at least I think/hope so.

greetings
Forum: Math 2005-01-12, 15:33
Replies: 5
Views: 2,335
Posted By Crook
Fermat's Theorem

We all know fermat's theorem that states: if p is a prime and (p,a)=1 then p divides a^(p-1)-1. I noticed that p divides also: a^k(p-1)-1. Is this a well known characteristic?

Second question:...
Forum: Math 2004-12-30, 15:50
Replies: 10
Views: 923
Posted By Crook
I found what I was looking for. Indeed, google...

I found what I was looking for. Indeed, google helped me. Chebyshev proved it in the XIXth century. Here is the link of the proof for whom is interested: http://matholymp.com/TUTORIALS/Bertrand.pdf
...
Forum: Other Mathematical Topics 2004-12-30, 15:43
Replies: 17
Views: 5,164
Posted By Crook
Godel-Escher-Bach, Douglas Hofstadter A...

Godel-Escher-Bach, Douglas Hofstadter
A Mathematician Apology, G.H. Hardy
Forum: Math 2004-12-30, 15:19
Replies: 10
Views: 923
Posted By Crook
If there is a proof, could you tell me who proved...

If there is a proof, could you tell me who proved it, and where i can find at least an outline of it? thanks
Forum: Math 2004-12-30, 15:10
Replies: 1
Views: 2,271
Posted By Crook
I was wondering the same thing as TravisT. I'm...

I was wondering the same thing as TravisT. I'm definetly interested in the proofs of all these theorems. Putting one together is a good idea..
Forum: Math 2004-12-30, 14:56
Replies: 10
Views: 923
Posted By Crook
So,from what I understood, there is no proof that...

So,from what I understood, there is no proof that for any integer n, there is a prime p, such as n<p<2n ?
Forum: Math 2004-12-29, 14:17
Replies: 10
Views: 923
Posted By Crook
n<p<2n ?

I know it's trivial for most of you but can you please tell me if this is true and if it's proved ? thanks
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