# Mathematical theorems that remain to be proven — Teoremas matemáticos que aun quedan por demostrar

# Mathematical theorems that remain to be proven

There are numerous important mathematical theorems that have yet to be proven. Some of these theorems are known as “open problems” in the mathematical community. Here are some notable examples:

4. **Birch and Swinnerton-Dyer Conjectur**1. **Goldbach’s Conjecture**: It proposes that every even number greater than 2 is the sum of two prime numbers. Although it has been verified for extremely large numbers, a general proof has not yet been found.

2. **Collatz Conjecture:** Also known as the 3n + 1 conjecture, it proposes that, starting from any positive integer, if it is even, divide it by 2, and if it is odd, multiply it by 3 and add 1, it will eventually reach 1.

3. **Riemann Hypothesis:** Proposed by the German mathematician Bernhard Riemann, this hypothesis states certain properties about the distribution of prime numbers within the set of natural numbers. Although computational evidence has been obtained suggesting its truth, it has not yet been proven.**e **: Related to elliptic curves, this conjecture establishes a connection between the number of rational points on an elliptic curve and the values of its associated L-function. Its proof has profound implications in number theory.

6. **Knapsack Problem or Integer Knapsack Problem **: An optimization problem in combinatorics where the goal…