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2. Wiles's proof of Fermat's Last Theorem - Wikipedia

   en.wikipedia.org/wiki/Wiles's_proof_of_Fermat's...

   Fermat's Last Theorem, formulated in 1637, states that no three positive integers a, b, and c can satisfy the equation + = if n is an integer greater than two (n > 2).. Over time, this simple assertion became one of the most famous unproved claims in mathematics.

3. Poincaré conjecture - Wikipedia

   en.wikipedia.org/wiki/Poincaré_conjecture

   e. In the mathematical field of geometric topology, the Poincaré conjecture (UK: / ˈpwæ̃kæreɪ /, [2] US: / ˌpwæ̃kɑːˈreɪ /, [3][4] French: [pwɛ̃kaʁe]) is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space. Originally conjectured by Henri Poincaré in ...

4. List of long mathematical proofs - Wikipedia

   en.wikipedia.org/wiki/List_of_long_mathematical...

   1968 the Novikov–Adian proof solving Burnside's problem on finitely generated infinite groups with finite exponents negatively. The three-part original paper is more than 300 pages long. (Britton later published a 282-page paper attempting to solve the problem, but his paper contained a serious gap.)

5. Collatz conjecture - Wikipedia

   en.wikipedia.org/wiki/Collatz_conjecture

   [7] Jeffrey Lagarias stated in 2010 that the Collatz conjecture "is an extraordinarily difficult problem, completely out of reach of present day mathematics". [8] However, though the Collatz conjecture itself remains open, efforts to solve the problem have led to new techniques and many partial results. [8] [9]

6. 10 Hard Math Problems That Even the Smartest People in the ...

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

   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.”. You check this in your ...

7. Hilbert's problems - Wikipedia

   en.wikipedia.org/wiki/Hilbert's_problems

   Hilbert's problems ranged greatly in topic and precision. Some of them, like the 3rd problem, which was the first to be solved, or the 8th problem (the Riemann hypothesis), which still remains unresolved, were presented precisely enough to enable a clear affirmative or negative answer. For other problems, such as the 5th, experts have ...