Number Theory


Proving Grimm’s Conjecture by Step-by- Step Forming Consecutive Composite Numbers’ Points at the Number Axis(Chinese)

Authors: Zhang Tianshu

Let us regard positive integers which have a common prime factor as a kind, then the positive half line of the number axis consists of infinite many recurring line segments which have same permutations of c kinds of integers’ points, where c≥1. In this article we shall prove Grimm’s conjecture by the method which changes stepwise symbols of each kind of composite numbers’ points at the original number axis, so as to form consecutive composite numbers’ points inside the limited field of proven Legendre- Zhang conjecture as the true.

Comments: 25 Pages.

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Submission history

[v1] 2017-09-02 03:44:43

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