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Q 1+ 1=?
That is, in the field of mathematics, Goldbach put forward a conjecture of even number = prime number+prime number, which is simply expressed as 1+ 1=2. Now the great mathematician Chen Jingyun has pushed this conjecture to even number = prime number+prime number * prime number, which is a little worse than Goldbach's conjecture. So, what is 1+ 1? I don't know ...
The following is copy and paste:
1+ 1=2 and the shortest straight line between two points are the cornerstones of mathematical algebra and mathematical geometry respectively. The whole mathematical building is built on these two seemingly simple but unbreakable axioms.
In addition, I think the 1+ 1 you asked should refer to Goldbach's conjecture, right? This has not been proved so far, but Chen Jingrun proved that 1+2=3 in the last century.
1966, China and Chen Jingrun proved "1+2" [in popular terms, it means even number = prime number+prime number * or even number = prime number+prime number (Note: the prime numbers that make up even numbers cannot be even numbers, but only odd numbers. Because there is only one even prime number in the prime number, that is 2. )]。
The "s+t" problem refers to the sum of the products of S prime numbers and T prime numbers.
In Goldbach's conjecture,'1+1'refers to the sum of a prime number and a prime number.
Goldbach conjecture seems simple, but it is not easy to prove, which has become a famous problem in mathematics. In 18 and 19 centuries, all number theory experts did not make substantial progress in proving this conjecture until the 20th century. It is directly proved that Goldbach's conjecture is not valid, and people adopt "circuitous tactics", that is, first consider expressing even numbers as the sum of two numbers, and each number is the product of several prime numbers. If the proposition "every big even number can be expressed as the sum of a number with no more than one prime factor and a number with no more than b prime factors" is recorded as "a+b", then the Coriolis conjecture is to prove that "1+ 1" holds.
1920, Bren of Norway proved "9+9".
1924, Rademacher proved "7+7".
1932, Esterman of England proved "6+6".
1937, Ricei of Italy proved "5+7", "4+9", "3+ 15" and "2+366" successively.
1938, Byxwrao of the Soviet Union proved "5+5".
1940, Byxwrao of the Soviet Union proved "4+4".
1948, Hungary's benevolence and righteousness proved "1+c", where c is the number of nature. 1956, Wang Yuan of China proved "3+4".
1957, China and Wang Yuan successively proved "3+3" and "2+3".
1962, Pan Chengdong of China and Barba of the Soviet Union proved "1+5", and Wang Yuan of China proved "1+4".
1965, Byxwrao and vinogradov Jr of the Soviet Union and Bombieri of Italy proved "1+3".
1966, China and Chen Jingrun proved "1+2" [in popular terms, it means even number = prime number+prime number * or even number = prime number+prime number (Note: the prime numbers that make up even numbers cannot be even numbers, but only odd numbers. Because there is only one even prime number in the prime number, that is 2. )]。
The "s+t" problem refers to the sum of the products of S prime numbers and T prime numbers.
The main methods used by mathematicians in the 20th century to study Goldbach's conjecture are screening method, circle method, density method, triangle method and so on. The way to solve this conjecture, like "narrowing the encirclement", is gradually approaching the final result.
Thanks to Chen Jingrun's contribution, mankind is only one step away from the final result of Goldbach's conjecture "1+ 1". But in order to achieve this last step, it may take a long exploration process. Many mathematicians believe that to prove "1+ 1", new mathematical methods must be created, and the previous methods are probably impossible.
Can you solve your problem?
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