The short answer is that there isn’t one single math problem that nobody can solve – in fact, many of the most famously difficult math problems have already been solved by mathematicians. Some of the most historically well-known unsolved problems include Fermat’s Last Theorem and the Riemann Hypothesis, both of which were eventually solved by mathematicians.
That said, there are still a number of open problems in mathematics – unsolved problems that remain of interest to mathematicians and students alike. These include problems like the Goldbach conjecture, which posits that every even integer can be written as the sum of two prime numbers; the Twin Prime Conjecture, which states that there are infinitely many pairs of prime numbers that differ by two; and the Collatz Conjecture, which states that when you apply a certain process to a positive integer, the resulting chain will eventually reach 1.
These problems have yet to be solved, and some have actually resisted attempts to solve them for centuries. As such, it can be difficult to say which is the “hardest” math problem that nobody can solve.
Ultimately, it’s up to each mathematician to decide which problems they find most interesting and challenging – and so far, no one has been able to definitively solve any of the above difficult math problems.
What are the 7 unsolved maths problems?
1) The Birch and Swinnerton-Dyer Conjecture: This is a conjecture which proposes a relationship between the number of rational points on an elliptic curve and the rank of the group of rational points.
It is considered one of the seven unsolved problems of mathematics, and has been called “the most important unsolved problem in number theory. “.
2) The Collatz Conjecture: This conjecture, also known as the 3x+1 problem, suggests that for any number entered into the equation, if it is even, the result will always divide evenly by two, and if the result is odd it will be multiplied by three and then increased by one.
No matter what number is entered, the sequence always eventually reaches the number one.
3) The Riemann Hypothesis: This is an unsolved problem in mathematics which predicts the behavior of the zeta function, as well as the distribution of prime numbers. The hypothesis was proposed by Bernhard Riemann in 1859 and has remained unsolved to date.
4) The Goldbach Conjecture: This is a conjecture which proposes that any even number greater than two can be expressed as the sum of two prime numbers. It has been verified for up to 4 × 10^18, but remains unproven.
5) The Twin Prime Conjecture: This is a conjecture which predicts that there are infinitely many prime numbers which are only separated by two. It remains unproven.
6) The Poincaré Conjecture: This is an unsolved mathematics problem which proposes a consistent sign pattern in the solution set of certain equations. It is considered to be one of the most important unsolved problems in mathematics.
7) The Hodge Conjecture: This conjecture proposes that all compact Kähler manifolds are algebraic varieties. It is considered one of the most important unsolved problems in mathematics, and remains unsolved to date.
Has 3X 1 been solved?
At this time, it is unclear as to whether or not 3X 1 has been solved. Several mathematicians and scientists have been attempting to find a solution to 3X 1 since the 1960s, but a definitive answer has yet to be found.
This is because 3X 1 has been classified as an “unsolvable” problem, meaning no one has been able to successfully come up with a mathematical proof. The only known way to confirm that 3X 1 has been solved is to find a published paper with a valid proof.
Several initiatives have been set up in an effort to find a solution, including an online forum for open discussion and collaboration on the problem, as well as an international competition for anyone to submit their solutions for review.
Despite these efforts, 3X 1 continues to remain unsolved.
What is the answer for 3x 1?
The answer for 3×1 is 3. This is because multiplication is the repeated addition of a number. Therefore, 3×1 is 3+3+3, which equals 9.
Why is 3x 1 a problem?
The problem with 3×1 is that it is an open-ended expression that does not provide enough information for one to solve the equation. The multiplication operator requires two numbers, not just one, for the equation to be solvable.
In other words, 3×1 does not have a solution because there is not enough information provided to solve it. Without a second number, there is no way to use the multiplication operator to get an answer.
If a second number was provided, then you would be able to solve it.
Are there any math problems that haven’t been solved?
Yes, there are still many math problems that have yet to be solved, such as the Riemann Hypothesis, the Birch and Swinnerton-Dyer conjecture, the Hadwiger-Nelson problem, the Hodge conjecture, and the Yang-Mills existence and mass gap.
Other unsolved problems in mathematics include the P versus NP problem, the “hairy ball” theorem, the Goldbach conjecture, and the odd perfect number conjecture. Moreover, much of mathematics is still subject to exploration and discovery.
As technology and research continue to advance, mathematicians will be able to tackle more complex problems.
Which of the 7 Millennium Problems are solved?
As of 2020, none of the seven Millennium Problems, which were outlined by the Clay Mathematics Institute in 2000 as the most difficult math problems in the world, have yet to be solved. The seven problems are the Riemann hypothesis, P versus NP problem, Yang–Mills existence and mass gap, Navier–Stokes existence and smoothness, Poincaré conjecture, Hodge conjecture, and Birch and Swinnerton-Dyer conjecture.
Each of these problems remains unsolved as of 2020, although celebrated advances in mathematics have been made around them. For example, while the Poincaré conjecture remained unsolved, it was disproven in 2006 by Russian mathematician Grigori Perelman, and the Hodge conjecture is now believed to be true following work by Claire Voisin in 2009.
Despite these advances, the Clay Mathematics Institute has placed a $1 million bounty on each of the seven problems, for which any proof of one of the seven problems would receive the cash reward. As of 2020, no bounty has been awarded, although significant advancements in related fields have been celebrated.
Has the Navier Stokes equation been solved?
The Navier Stokes equation has been solved in simple cases, but a complete solution has yet to be achieved. The Navier-Stokes equation governs how air or other fluids move and is a complex mathematical equation with three independent variables.
It has applications for simulations of flight and wind patterns, for weather prediction, for understanding ocean wave dynamics and for analyzing the flow of blood in the body.
Due to the complexity of the equation and because of the nonlinear terms contained within it, attempts to solve it in analytical form have been unsuccessful. Furthermore, the equation contains some nonlinear terms and oncoming shocks or turbulence, so what may appear to be a solution on paper turns out to be invalid in a real-world situation.
Despite this, numerical techniques have been adopted to create approximations to the solution. The most popular and successful method is the finite difference technique, which enables the equation’s multiple equations to be broken down into a number of simpler versions.
This technique has allowed iteration methods such as the operator–splitting method, the sequential splitting method, the fractional–step method, the augmented Lagrangian–relaxation method to be used in order to bring the equation closer to a solution.
Indeed, modern computing power has allowed more sophisticated methods such as the finite element method, the immersed boundary method and the finite volume method to also be used.
Thus, while analytical solutions remain illusive, a wide variety of numerical methods, in combination with increases in computing speeds, means that the Navier Stokes equation can be approximated with greater accuracy and efficiency than ever before.
Is P vs NP solved?
No, the P vs NP problem has not been solved. The P vs NP problem is a classic computer science problem which essentially asks whether all problems with a guaranteed solution can be solved in polynomial time.
This is an open problem, meaning mathematicians and computer scientists are still researching and working on it. It is one of the most important unsolved problems in mathematics, and there is currently no known solution.
Has the Hodge conjecture been solved?
No, the Hodge conjecture has not been solved. The Hodge conjecture is a long-standing open problem in mathematics, first posed by mathematician W. V. D. Hodge in the 1950s. It is a statement about the structure of the rational cohomology of non-singular algebraic varieties.
Specifically, the Hodge conjecture states that all rational cohomology classes on a non-singular algebraic variety are represented by algebraic cycles.
Despite a considerable amount of effort, the Hodge conjecture has not yet been solved. Many mathematicians have made significant progress in providing partial solutions, but there is still much more to be done.
Furthermore, the overwhelming evidence suggests that the Hodge conjecture is a true statement and hence should be provable. As such, mathematicians around the world continue to work on developing a full proof of the conjecture.
Is Birch and Swinnerton Dyer conjecture solved?
No, the Birch and Swinnerton-Dyer Conjecture has not yet been completely solved. The conjecture, first proposed by British mathematicians B. J. Birch and Sir Peter Swinnerton-Dyer in the 1960s, was one of the seven Clay Mathematics Institute’s Millennium Prize Problems.
It states that the rank of the group of rational points on an elliptic (algebraic) curve over the rationals is equal to the order of the zero at infinity of the associated L-function. While this has been proven for a number of special cases, a general proof for all curves is still outstanding.
Several people have made contributions towards this goal and some understanding of the problem has been achieved, but a complete proof has yet to be formulated.
Is 3x 1 proven?
No, 3x 1 is not proven. This is because 3x 1 is an algebraic equation and no matter what number follows the 3 and the 1, the value will always be 3. As such, there is no specific proof that can be provided to prove this equation.
In algebra, equations are based on the law of equality, which states that two sides of an equation must be equal in order to be true. Since 3x 1 does not depend on any specific value for x, the equation is always true, and therefore does not require proof.
What is Terence Tao doing now?
Terence Tao is currently a professor of mathematics at the University of California, Los Angeles. He is a prolific mathematician and winner of the Fields Medal in 2006. He specializes in harmonic analysis, partial differential equations, additive combinatorics, ergodic Ramsey theory, random matrix theory, and analytic number theory, among other fields.
He has written several books about these topics, in addition to having over 300 research papers and 250 expository papers to his name. Tao is also the co-founder of the Heilbronn Institute for Mathematical Research and continues to teach and mentor students at UCLA.
Most recently, Tao has been involved in the exploration of a new type of wave, known as a solitary wave, and continues to work on multiple challenging mathematics problems.
What is so difficult about Collatz conjecture?
Collatz conjecture, also known as the 3n+1 conjecture, is an unsolved problem in mathematics that raises the question of whether a particular process eventually reaches a single outcome regardless of the initial starting point.
The conjecture is named after German mathematician Lothar Collatz, who first proposed it in 1937. The conjecture proposes that given any arbitrary number, if it is even then divide it by two and if it is odd then multiply it by three and add one.
It is then proposed that after a finite number of iterations, this process will eventually reach the number one.
The difficulty in solving the Collatz Conjecture lies in the lack of understanding of the repeatability of the process. As with many unsolved problems, there is not currently a known formula or pattern that can be used to understand the behavior of the iterations of the Collatz Conjecture.
Instead, extensive use of mathematics and computational methods are used to explore the possibility of reaching the number one. Although, computational methods have found that no matter the starting number the same pattern is seen in the sequence of numbers, this is not enough to prove the conjecture and there remains no practical solution.
Who made the 3x +1 problem?
The 3x+1 problem, also known as “the Collatz conjecture” was proposed by Lothar Collatz in 1937. It states that if you take any positive whole number and, if it is odd, multiply it by three and then add one, and if it is even, divide it by two, then you will eventually reach the number 1.
It is unknown whether this holds true for all numbers, but extensive computer calculations have shown that the conjecture is true for all numbers up to at least 5. 3×10^18. Despite having been posited over 80 years ago, the 3x+1 problem remains unsolved and its proof is considered to be one of the most difficult mathematical problems.