## Brocard`s Problem. Variants of Brocard`s Problem

**Authors:** Martiros Khurshudyan

In this article we considered an open problem. One of the problems in the list of open
problems of General Number Theory, existing in [1], [2] is the Brocard`s Problem, asking to
find integer values of n, for which n! + 1 = m^{2}. 'Introduction' section is dedicated to the
statement of the main problem. We presented some historical overview and known facts
about this problem in the 'Historical overview and known facts' section , based on
information presented in the web [1], [2]. In the section 'Variants of the Problem' several
variants of the Problem are presented by author based on more general n! + A = k^{2} [4]
equation and asked to find solutions for them.

**Comments:** 2 pages.

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### Submission history

[v1] 23 Mar 2011

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