Number Theory

    

Proof of N^2+1 Conjecture

Authors: Zhi Li, Hua Li

The n^2+1 conjecture states that there are infinitely many natural numbers n such thatn^2+1 is a prime number.This paper defines the distribution type of prime numbers as deterministic randomdistribution. The distribution is characterized by limited degrees of freedom and a certain degree of predictability. This paper proves that the number of prime numbersin an interval is equivalent to the cumulative probability value. According to this, thenumber of prime numbers in a certain region can be determined by calculating thecumulative probability value. Therefore, the problems related to prime numbers can be studied, analyzed and proved by using probability and statistics methods.The conjecture is proved by judging the convergence of the series using probabilitystatistics method.

Comments: 4 Pages.

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Submission history

[v1] 2022-09-09 15:59:36

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