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2. Hilbert's problems - Wikipedia

   en.wikipedia.org/wiki/Hilbert's_problems

   Problems 1, 2, 5, 6, [g] 9, 11, 12, 15, 21, and 22 have solutions that have partial acceptance, but there exists some controversy as to whether they resolve the problems. That leaves 8 (the Riemann hypothesis ), 13 and 16 [ h ] unresolved, and 4 and 23 as too vague to ever be described as solved.

3. List of unsolved problems in mathematics - Wikipedia

   en.wikipedia.org/wiki/List_of_unsolved_problems...

   Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

4. 10 Hard Math Problems That Even the Smartest People in the ...

   www.aol.com/10-hard-math-problems-even-150000090...

   Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...

5. Collatz conjecture - Wikipedia

   en.wikipedia.org/wiki/Collatz_conjecture

   The standard Collatz function is given by P = 2, a 0 = ⁠ 1 / 2 ⁠, b 0 = 0, a 1 = 3, b 1 = 1. Conway proved that the problem Given g and n, does the sequence of iterates g k (n) reach 1? is undecidable, by representing the halting problem in this way. Closer to the Collatz problem is the following universally quantified problem:

6. 30 Math Puzzles (with Answers) to Test Your Smarts - AOL

   www.aol.com/30-math-puzzles-answers-test...

   Math is not everyone’s favorite, understandably. Hours of math homework and difficult equations can make anyone sour on the subject. But when math problems are outside of a school setting, there ...

7. Millennium Prize Problems - Wikipedia

   en.wikipedia.org/wiki/Millennium_Prize_Problems

   The question is whether or not, for all problems for which an algorithm can verify a given solution quickly (that is, in polynomial time), an algorithm can also find that solution quickly. Since the former describes the class of problems termed NP, while the latter describes P, the question is equivalent to asking whether all problems in NP are ...