Author(s)

Dan Liu, Chenglong Liu

School of Mathematics, Neijiang Normal University, Neijiang, China.

The conjecture of twin prime numbers is a mathematical problem. Proving the twin prime conjecture using traditional modern number theory is extremely profound and complex. We propose an elementary research method for corresponding prime number, proved that the conjecture of twin prime numbers and obtain the corresponding prime distribution equation. According to the distribution rate of corresponding prime numbers, the distribution pattern of twin prime numbers was proved the distribution rate theorem. This is the distribution rate of prime numbers corresponding to composite numbers, which approaches the distribution rate of prime numbers corresponding to integers. Based on the corresponding prime distribution equation, obtain the twin prime inequality function. Then, the formula for calculating twin prime numbers was discussed. There is also the Hardy Littlewood conjecture. This provides a practical and feasible approach for studying the distribution of twin prime numbers.

Prime Number, Composite Number, Twin Prime Numbers, Corresponding Prime Distribution Equation, Twin Prime Inequality Function

Liu, D. and Liu, C. (2023) Corresponding Prime Number Distribution Equation. Journal of Applied Mathematics and Physics, 11, 3354-3365. doi: 10.4236/jamp.2023.1111214.