17th century, there was a French mathematician named Mei Sen, who once made a guess: 2 p- 1 algebraic expression, when p is a prime number, 2 p- 1 is a prime number. He calculated that when p=2, 3, 5, 7, 17, 1.

There are three Mason numbers, p=67,127,257, which are too big to be verified for a long time. 250 years after Mei Sen's death, American mathematician Kohler proved 267-1=19370721* 7665438+. It has been proved that the10th Mason number is a prime number and the 1 1 th Mason number is a composite number. The disordered arrangement of prime numbers also makes it difficult for people to find the law of prime numbers.

Now the maximum Mason number discovered by mathematicians is a 378,632-bit number: 21257,787-1. Although mathematics can find a big prime number, the law of prime numbers still cannot be followed.