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There are many unsolved problems in mathematics, as prominent mathematicians have worked on these for years without success they must be regarded as the hardest math problem or at least part of the set of all math problems. These include:

1. The Goldbach conjecture.

2. The Riemann hypothesis.

3. The conjecture that there exists a Hadamard matrix for every positive multiple of 4.The twin prime conjecture (i.e., the conjecture that there are an infinite number of twin primes).

5. Determination of whether NP-problems are actually P-problems.

6. The Collatz problem.

7. Proof that the 196-algorithm does not terminate when applied to the number 196.

8. Proof that 10 is a solitary number.

9. Finding a formula for the probability that two elements chosen at random generate the symmetric group .

10. Solving the happy end problem for arbitrary .

11. Finding an Euler brick whose space diagonal is also an integer.

12. Proving which numbers can be represented as a sum of three or four (positive or negative) cubic numbers.

13. Lehmer's Mahler measure problem and Lehmer's totient problem on the existence of composite numbers such that , where is the totient function.

14. Determining if the Euler-Mascheroni constant is irrational.

15. Deriving an analytic form for the square site percolation threshold.

16. Determining if any odd perfect numbers exist.

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12y ago
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6mo ago

One of the challenging math problems is the Twin Prime Conjecture, which posits that there are infinitely many pairs of prime numbers that are only two numbers apart (like 11 and 13). This conjecture has yet to be proven.

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10y ago

Why is it still called Pythagoras' theorem for a right angle triangle and what's the correct value of pi regarding the circle.

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12y ago

eight times t equals sixty four

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14y ago

How many sides are there to a circle?

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Q: 2nd hardest math problem
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