# conjecture

1. ### Help with Collatz Conjecture

I need help in seeing if I can turn an idea into a proof, or if I am merely ruining Math with my attempt at solving this. I recently watched a youtube video on the Collatz Conjecture. The Conjecture is simple enough: Start with a positive number n and repeatedly apply these simple rules: If...
2. ### Proof of fermat's last theorem and beal's conjecture

What do you think about the attached?
3. ### Proof of fermat's last theorem and beal's conjecture

See attached.
4. ### A method to show there are infintely many Twin Primes

This is an attempt at a Twin Prime Conjecture Proof, and is open to Peer Review. Abstract: Surfaces representing the primes and composites, the upper twin prime, the difference between squares, and the relations among them, are used to select input for a quadratic in such a way as to always...
5. ### Goldbach Conjecture

Take the 6-prime proof and hold the first 4 primesconstant. Varying the six prime toinfinity carries the last two with it, and does it by two, and proves theGoldbach.
6. ### Patterns within systems of linear equations

hey everyone! im currently doing an investigation and im stuck on this last bit! can anyone please help me? Investigate a number of systems of equations where the coefficients form a geometric sequence. • Write a conjecture about the relationship, if any, between the simultaneous solution of...
7. ### Proof of a Conjecture or Counter Examples

{P-Q}{P^(n-1) + K1[P^(n-2)]Q + K2[P^(n-3)]Q^2 + ....+ Q^(n-1)} cannot equal C^n - B^n where all the variables are positive integers, n>2, P>Q, C>B unless all the Ks are equal to 1 or in some instances the Ks have the same value.
8. ### Proof of a Conjecture or Counter Examples

{P-Q}{P^(n-1) + K1[P^(n-2)]Q + K2[P^(n-3)]Q^2 + ....+ Q^(n-1)} cannot equal C^n - B^n where all the variables are positive integers, n>2, P>Q, C>B unless all the Ks are equal to 1 or in some instances the Ks have the same value.
9. ### Equivalent of GOLDBACH conjecture, Sho that the statement : Every integer greater tha

Equivalent of GOLBACH conjecture, Sho that the statement : Every integer greater than 5 is the sum of three primes, implies the statement : every odd integer greater than 2 is the sum of two primes. HELP !!..
10. ### Hi MHF here's my conjecture on cycle length and primes : prime abc conjecture PAC

My nickname is miket and have many other nickname, research on natural science.I am interested in number theory.I put forward a conjecture on cycle length and primes : prime abc conjecture PAC. prime abc conjecture PAC: Suppose a>9 is odd and b is the cycle length of a as defined below. Then I...
11. ### Finding a conjecture relating prime numbers to divisors

Hello I was just wondering if anyone could help me find a conjecture, theorem, hypothesis around this particular result. If p,q are prime numbers, m,n are integers, and f(r) is the number of nontrivial divisors of r (ie. not 1 or r itself). That if r=(p^m)*(q^n) (p≠q) that f(r)=(m+1)n+(m-1)...
12. ### latin square conjecture

I have been struggling with a conjecture about latin square, hoping maybe someone on this forum might enlighten me. Assume positive integers m,n,k and m=kn (k=2,3,...). Let's define an m-by-n matrix A with two constraints: (1) each row of A is a permutation on {1,2,...,n} (these permutations...
13. ### Proving a conjecture in differentiation

How do I prove the conjecture that d^(n)y ______ = k^(n) y dx^(n) The n are in the same position like 2 in the second derivative, d2y/dx2. And the n on the RHS is an exponent, but the y is not. I know to use induction but I'm stuck at proving P(k+1), d^(k+1)y ______ dx^(k+1)...
14. ### The Lonely Runner Conjecture - Proven or Not!!

Hello All, There is an intriguing problem called the Lonely Runner Conjecture. Its intriguing because it is easily stated yet deceptively difficult to prove. The conjecture has been open for more than 45 years and it has important implications across many areas of mathematics. Let me share the...
15. ### Prime Conjecture

Is the following conjecture true or false? If m is a positive odd integer such that 2m = 2 (mod. m(m-1)) then m is a prime. 27 = 2 (mod. 7x6). 243 = 2 (mod. 43x42).(Nerd)
16. ### Area of a Triangle and Elliptic Curves - Birch and Swinnerton Dyer Conjecture

In the book by Keith Devlin on the Millenium Problems - in Chapter 6 on the Birch and Swinnerton-Dyer Conjecture we find the following text: "It is a fairly straightforward piece of algebraic reasoning to show that there is a right triangle with rational sides having an area d if and only the...
17. ### Let n be a natural number. Make a conjecture about the nth derivative of the function

Let n be a natural number. Make a conjecture about the nth derivative of the function f(x) = e^(ax). That is, what is the nth derivative of e^(ax). Then use mathematical induction to prove your conjecture. My conjecture is as follows: For every natural number a, the nth derivative of the...
18. ### Goldbach's conjecture proof?

Hi, i was trying to look for a proof for goldbach's conjecture, but I dont seem to find it, there are some unofficial proofs that were not accepted. I wonder if it was actually proven? Thanks, Ted
19. ### Triangle conjecture

I'm asked to prove any conjectures about the constructed triangle and the points A' B' C' M1 M2 M3 N1 N2 N3. A few details: given triangle ABC, A' B' C' are altitudes with the orthocenter P M1 M2 M3 are midpoints of AP BP and CP N1 N2 and N3 are the midpoints of AB BC and AC G is the...
20. ### A solution that counts: Long-standing mathematical conjecture finally proved

This is from PhysOrg.com! (Bow)