Number Theory

    

New Types of Pythagorean Equations and the Resulting Consequences (Elementary Aspect)

Authors: Reuven Tint

In the present paper, new types of Pythagorean equations are derived (which are countless) based on the irrational ones that generate them, complex and integer numbers, those proven the fact of the rehabilitation of the system of solutions of the Pythagorean Euclidean equations based on the identities I received. It is believed, starting with Euclid (the third century BC) to the present, that these (2) and (2a) - and only these formulas given in [1], [2], [3] cover all integer solutions of the Pythagorean equation (1). It will be proved below that this is not so: the system of solutions given in [1], [2], [3] is not complete, which is a breakthrough in number theory.

Comments: 5 Pages.

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Submission history

[v1] 2020-06-23 20:23:46

Unique-IP document downloads: 136 times

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