Conjecture Definition and 231 Threads

1*1 1*3 2*2 3*1 1*5 2*4 3*3 4*2 5*1 1*7 2*6 3*5 4*4 5*3 6*2 7*1 * * * etc. If we go on constructing the pattern of numbers above, will each row contain atleast 1 product of two odd...

Can someone tell me when Grimm's conjecture (http://mathworld.wolfram.com/GrimmsConjecture.html) was formulated? I can't find any sources on that, and I don't have Guy's book.

Announced in http://www.intlpress.com/AJM/p/2006/10_2/AJM-10-2-165-492.pdf" . Differential Geometry meets Geometric Surgery on three-manifolds; Perelman clarified and (perhaps) corrected. A COMPLETE PROOF OF THE POINCAR´E AND GEOMETRIZATION CONJECTURES – APPLICATION OF THE...

Is "Berry Operator"... H=-i\hbar(x\frac{d}{dx}+1/2) the operator which give all the solutions of \zeta(1/2+iE_{n})=0 ?..it seems too easy to be true...:eek: :eek:

In an anlaogy with the Euler product of the Riemann function we make: \prod_{p}(1+e^{-sp})=f(s) of course we have that: f(p1+p2+p3)=f(p1)f(p2)f(p3) f(x)=exp(-ax) if Goldbach Conjecture is true then p1+p2= even and p5+p6+p8=Odd for integer n>5? then this product should be equal to...

I have a new conjecture re triangular numbers that I think is fascinating. Conjecture For any two integers a and b such that ab is a triangular number, then there is an integer c such that a^2 + ac and b^2 + bc are both triangular numbers. Further, (6b-a+2c)*b and (6b-a+2c)*(6b-a+3c)...

My question is...could the Hilbert-Polya conjecture if true prove RH (Riemann Hypothesis) i mean let,s suppose we find an operator ( i found a Hamiltonian with a real potential that gave all the roots of \zeta(1/2+is) ) in the form: R=1/2+iH with H self-adjoint so all the "eigenvalues"...

Ok my thread seems to have gone into a black hole. The existence of such a number would disprove Andrica's conjecture.

Could someone lay down, in layman's terms, The Poincare Conjecture? Lol, is this even possible?

All the roots of a real function f(x) are real unless. 1.K(x) is a Polynomial of degree k 2.f(x)=exp(g(x)) where g(x) is different from ln of something 3.f(z) with z=u+iv is invariant under the transformation of v=-v with f(u+iv)=F(u-iv).. 4.the function f includes some of the functions...

Bear with me. I'm new to forum and don't yet know all protocol. My question concerns twin primes. The previous thread on this topic seems to be closed. My question is this: When considering the Twin Primes Conjecture, has anyone researched the idea that (heuristically speaking) there is...

Where can I find examples, or a complete list, of computer generated (common prime factor) solutions to the Beal conjecture problem?

this is a question i have i mean are RH and Goldbach conjecture related? i mean in the sense that proving RH would imply Goldbach conjecture and viceversa: RIemann hypothesis: (RH) \zeta(s)=0 then s=1/2+it Goldbach conjecture,let be n a positive integer then: 2n=p1+p2 ...

I found this on arxiv...is this guy a loon or do the proofs seem reasonable? Proofs

Where to Find Original Manuscript of Proof of Taniyama Shimura Conjecture? Can anyone please tell me where i can find the proof of Proffessor Wiles?? I have scoured the web for it in vain. And since i am still not part of any institution, JSTOR have denied acess to me. Thanx for any help.

Hello all, I was wondering whether there might be anything similar to Thurston's Geometrization Conjecture, except for four manifolds instead of three manifolds. (Essentially, this conjecture (iiuc) states that it is always possible to take an arbitrary 3-manifold and break it up into...

http://mathworld.wolfram.com/news/2003-04-15/poincare/ Is the proof considered valid? Did he claim the millennium prize? I can't find any recent news about it.

According to this paper, http://arxiv.org/abs/math.GM/0108201 Paul Erdos (of Erdos number fame) conjectured the existence of The Book, a book that contains all the smallest proofs of mathematics arranged in lexical order. What are your thoughts on it, do you believe in the existence of such book?

http://www.arxiv.org/abs/physics/0308078 Could we belong to a non-aggressive advanced civilization, which protects earth? And does the general population suffer from the crown of creation syndrome?

Here is a tentative conjecture that needs to be tested. [P! + P]/P^2 = INTEGER if and only if P is a prime number P! is P factorial, e.g. 3*2*1 , 5*4*3*2*1 , 7*6*5*4*3*2*1, etc...

Are there any updates on this? I don't know how old this is, but I am curious. I thought it was pretty interesting stuff. -------The Poincare Conjecture, one of the most famous math problems solved A Russian mathematician claims to have proved the Poincare Conjecture, one of...

im not trying to be a crank and give you a solution to it but I am looking for the proof of Ivan Vinogradov "that every sufficiently large odd integer can be expressed as the sum of three odd primes"( quoted from here:http://primes.utm.edu/glossary/page.php?sort=Vinogradov), the original proof...

Mathematicians are now saying that Grigory Perelman has really solved the conjecture and the proof will be in a paper he will post in the near future. His previous papers on this subject are in the arxiv specal topic Differential Geometry (under mathematics). Keep your eyes on this space!

An edited post: Please can you show a proof that contradicts my conjecture, saying: "By using base^power representation method we can represent a list of rational numbers (repetitions over scales, for example: 0.123123123...) where the missing rational number is based on the diagonal...

Hi, I have a conjecture and I am not sure whether it is true. I can't construct a counter example but perhaps someone more mathemetically resourceful than myself can do so (or perhaps even offer a direct proof or disproof). Here's the conjecture. Let X_n = r_1 \, r_2 \, r_3 \, ... \, r_n...

"Maldacena conjecture" Does somebody here believe that the Maldacena conjecture is true? Here's a lecture of 55 minutes in RealPlayer explaining the conjecture: http://www.wlap.org/umich/mctp/workshops/2003/may/20030508-03/

The Erdos-Straus Conjecture proposes that: For n >= 1, 4/n = 1/a + 1/b + 1/c, has postive integer solutions. n = 2k (evens) n = 4k+3 (odds) n = 4k+1 (odds) For 2k I have found the pattern --> if k >= 1, 4/2k = 1/2k + 1/2k + 1/k. This is simple, I know. I am having difficulty...

GOLDBACH CONJECTURE Goldbach conjecture: ”Each even number greater than six, could be written as sum of two primes” This conjecture is almost experimentally proven on computer , but we still miss theoretical proof. I’ll try to reach it by the method showed below. Let...

did someone proove this conjecture or is still just a conjecture?

I have chosen to honor PF by publishing my conjecture first here :smile:. The Marcus Conjecture, which I formulated a few days ago on one of the cosmological redshift threads, is that the energy lost from the CMB by expansion has gone into the form of dark energy. I shall now show...

what is it and how was it prooved?