GFact 23 | (Brocard’s problem)

Brocard’s problem is to find values of m and n such that n!+1 = m2

For example, a pair (4, 5) solves the above equation. We have n = 4, m = 5. 4! + 1 = 24 + 1 = 25 = 52.

A pair (n, m) that solves above is called Brown Number. There are only three known pairs (4, 5), (5, 11), and (7, 71)



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