Number Theory

    

Solutions of Systems of Linear Diophantine Equations and Prime Numbers

Authors: Claude Henri Raymond Dequatre

A large number of systems of diophantine equations have been generated, paying particular attention to the solutions identified as prime numbers. A statistical approach was taken to create such systems with random terms and coefficients. This paper gives a detailed view of the work carried out and the analysis of these solutions which are part of the set of prime numbers. Data, observations and an analysis of results allowed to evaluate the frequency of prime number solutions, identify some structures in prime number solution scatter plots and some relationships between the number of prime solutions and the number of primes and finally establish two conjectures on the number of prime solutions generated by these linear diophantine equation systems.

Comments: 53 Pages.

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Submission history

[v1] 2020-03-17 12:21:17

Unique-IP document downloads: 113 times

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