Mathematics folk science refers to people who have no formal mathematics education, but have a strong interest in mathematics and try to solve some mathematical problems. Their views and theories are often contrary to mainstream mathematics, so they are called "folk disciplines". The following are some hot topics in mathematical folk science:

1. Prove Goldbach conjecture: Goldbach conjecture is an unsolved mathematical problem, and it is proposed that any even number greater than 2 can be expressed as the sum of two prime numbers. Many people have tried to prove this conjecture through various methods, but so far no one has succeeded.

2. Prove Fermat's Last Theorem: Fermat's Last Theorem is another well-known unsolved mathematical problem, which points out that no three positive integers A, B and C satisfy A N+B N = C N ... Although andrew wiles successfully proved this theorem in 1994, some people still try to prove it by other methods.

3. Prove Riemann conjecture: Riemann conjecture is a conjecture about the zero distribution law of Riemann zeta function in complex number field. Although this conjecture has been verified by a large number of numerical values, no one has been able to give a strict proof so far.

4. Prove the four-color theorem: The four-color theorem is a classic problem about map coloring. It puts forward that any plane map can be colored with four colors, so that adjacent areas have different colors. This theorem has been proved by computer program in 1976, but some people still try to prove it by hand.