What are some unsolved problems in mathematics?

Question

I'm really interested in this stuff and I want to know of a website or something that just gives me a list of unsolved problems in mathematics.

Answer 1

One of the as yet unsolved problems (as far as I am aware) is very easy to state. It is Goldbach's conjecture. This says that every even number greater than 4 is the sum of two prime numbers.

Answer 2

The Clay Mathematics Institute has compiled a list of seven problems, for which the prize for a solution is $1 million (for each problem). They posted this challenge in 2000. So far, only one of the problems has been solved. These are big, hard unsolved problems!

http://www.claymath.org/millennium/


And then there are many other interesting unsolved math probems. My favorite is this one:

In two dimensions, let's consider convex shapes of constant width (that is, whenever you draw a line segment from one side to the other through the center, that line segment has the same length). The circle is the most popular, but the Reuleaux triangle, which looks sort of like the rotating part of a Wankel engine, is a convex object of constant width as well (it can roll like a coin).

It has long been known that the convex object with constant width and smallest area is in fact the Reuleaux triangle.

In three dimensions, it is easy to see that the sphere has constant width. Other objects of constant width in three dimensions are known (the can roll like marbles). But what is the shape of the object of constant width and the smallest volume? In other words, what would be the shape of the optimal "ball" bearing? The solution to this problem has defied mathematicians for nearly 100 years!

Answer 3

Look up the famous 3x+1 problem on Google.
Also check out Carmichael's conjecture
about Euler's phi function.
Another one is: Does there exist an odd perfect number?
Finally, here's another that my colleagues and I
have been playing with for many years:
Let n be a positive integer(in base 10)
satisfying the following two conditions:
1). n is a square
2). the only digits of n are 0 and 1.
Must n be a power of 10?
We have checked all possible n up to 10^32
and found that n is a power of 10 up to this point.

Answer 4

Another interesting open question in mathematics is the following: Are there infinitely many twin primes? Twin primes are defined as two prime numbers that differ by 2.

Answer 5

This is very simple, all you have to do is go to Wikipedia and type in what you need. In your case, it's "unsolved problems in mathematics." And poof, just like that, you get your needed site:

http://en.wikipedia.org/wiki/Unsolved_problems_in_mathematics

Answer 6

Goldbach's Conjecture

It states that every integer greater than 2 can be written as the sum of 2 prime numbers

There are many others as well

Answer 7

Here are some:
Does an outsider applicant for dce has to fill a form of CEE?
Particle at rest starts at point O in staright line to point A. velocity is V, T seconds after leaving O?
Find the coordinates of the stationary point , S , on the curve.?
(b4)(i4)q(ru/18) ?

Please give me best answer thanks!

Answer 8

you can make many unsolvable questions.
S [((tanx secx)cotx^2)/(x^2)(x^20)(x^2cosx)]dx