The three major conjectures in the history of mathematics: 1, Fermat's Last Theorem 2, Four-color Conjecture 3, Goldbach's Conjecture 1 and Fermat's Last Theorem, originated more than 300 years ago, challenged mankind for three centuries, shocked the world many times, exhausted the energy of many of the most outstanding human brains and fascinated Qian Qian amateurs. It was finally conquered by andrew wiles in 1994. Diophantine in ancient Greece wrote a famous work Arithmetic. After the ignorance and darkness of the Middle Ages and Renaissance, the remnants of "arithmetic" were rediscovered and studied. 1637, Pierre de Fremat, a great amateur mathematician in France, wrote a conjecture on the edge of the Pythagorean number in Arithmetic: a+b=c is impossible (where n is greater than 2; A, b, c and n are all non-zero integers). This conjecture was later called Fermat's last theorem. Fermat also wrote, "I have a wonderful proof of this, but the margin of this page is too narrow to write." It is generally believed that he could not have the correct proof at that time. After the conjecture was put forward, through the efforts of several generations of genius such as Euler, only four cases of n = 3, 4, 5 and 7 were solved in 200 years. In 1847, Kumar founded the modern important discipline "Algebraic Number Theory", which proved that Fermat's Last Theorem was valid for many n's (such as 100), which was a great leap. 2. The content of the four-color problem is: "Any map with only four colors can make countries with the same border have different colors." Expressed in mathematical language, it means "divide the plane into non-overlapping areas at will, and each area can always be marked with one of the four numbers 1, 2, 3 and 4, without making two adjacent areas get the same number." The four-color conjecture was put forward by Britain. 1852, when Francis guthrie, who graduated from London University, came to a scientific research unit to do map coloring, he found an interesting phenomenon: "It seems that every map can be colored with four colors, so countries with the same border will be colored with different colors." Can this phenomenon be strictly proved by mathematical methods? He and his younger brother, Grace, who is in college, are determined to give it a try. The manuscript papers used by the two brothers to prove this problem have been piled up, but the research work has not progressed. 3. Among the mathematical conjectures related to prime numbers in history, Goldbach's conjecture is the most famous one. 1742 On June 7th, German mathematician Goldbach put forward two bold conjectures in a letter to the famous mathematician Euler: First, any even number not less than 6 is the sum of two odd prime numbers; 2. Any odd number not less than 9 is the sum of three odd prime numbers.