Number Theory


Solution of Brocard`s Problem

Authors: David Stacha

In this article I will provide the solution of Brocard`s problem n!+1=x^2 and I will prove the existence of the finite amount of Brown numbers, where the largest Brown number is (7,71), which represents the equation 7!+1=71^2. Brocard`s problem represents one of the open problem in mathematics from the field of number theory, which has been formulated by Henri Brocard in 1876 and represents the solutions of the following Diophantine equation n!+1=x^2.

Comments: 9 Pages.

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Submission history

[v1] 2018-02-21 19:03:59
[v2] 2018-02-22 14:33:51

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