No matter "1+2=3" or "1+ 1=2", it is a mathematical axiom and will always hold. Based on piano's axiom, it proves that such an identity is meaningless. What mathematicians really want to prove is Goldbach conjecture, which has always been an unsolved mystery in the field of mathematics. David hilbert, a great mathematician, once listed it as one of the 23 major mathematical problems.
In a letter written to Euler in 1742, Goldbach put forward a conjecture-for any even number greater than 2, that is, even numbers of 4 and above, it is equal to the sum of two prime numbers (or prime numbers), which is the so-called "1+ 1". That is, even numbers greater than 2 can be split into at least one pair of prime numbers, for example, 8=3+5,14 = 3+11= 7+7.
At that time, even Euler could not prove Goldbach's conjecture. In addition, some mathematicians such as Gauss and Riemann have studied Goldbach conjecture, but they have not proved it. But with the unremitting efforts of these mathematicians, they laid a solid foundation for the further research of mathematicians later.
Since Goldbach's conjecture cannot be directly proved, mathematicians have found another way to approach this conjecture by proving the inference of Goldbach's conjecture. So far, Chen Jingrun, a famous mathematician in China, is the closest person to prove Goldbach's conjecture. He proved "1+2".
Chen Jingrun proved that any large enough even number can be represented by two prime numbers, or by the sum of a prime number and a semi-prime number. A semi-prime number can be expressed by the product of two prime numbers. For example, 2 1 is a semi-prime, which can be expressed by the product of prime number 3 and prime number 7. This theorem is called Chen Theorem, commonly known as "1+2". In order to prove "1+2", Chen Jingrun used several sacks of draft paper, which is admirable in an era without computer help.
Today, nearly 300 years after Goldbach put forward his conjecture, no one can further prove "1+ 1". If we want to prove or disprove Goldbach's conjecture, we may need to take Chen Jingrun's proof as the basis, or there may be other methods to prove it directly. As for those who claim that Goldbach's conjecture can be proved by elementary number theory, it is basically whimsical.
Just like the ultimate question of how the universe originated and ended, Goldbach conjecture is still unknown. There is still a long way to go before this major mathematical problem can be completely solved.