problema de Brocard

EN Texto em inglês Ainda não há artigo no seu idioma: trecho em inglês.

Brocard's problem is a problem in mathematics that seeks integer values of n {\displaystyle n} such that n ! + 1 {\displaystyle n!+1} is a perfect square, where n ! {\displaystyle n!} is the factorial. Only three values of n {\displaystyle n} are known — 4, 5, 7 — and it is not known whether there are any more. Though research has extended far beyond n > 7, no additional solutions to the equation n! + 1 = m2 are known. More formally, it seeks pairs of integers n {\displaystyle n} and m {\displaystyle m} such that n ! + 1 = m 2 . {\displaystyle n!+1=m^{2}.} The problem was posed by Henri Brocard in a pair of articles in 1876 and 1885, and independently in 1913 by Srinivasa Ramanujan.