Brocard's Problem
Find the values of 
for which 
is a Square Number 
, where 
is the Factorial (Brocard 1876,1885). The only known solutions are 
, 5, and 7, and there are no other solutions 
. The pairs of numbers 
are called Brown Numbers.
References
Brocard, H. Question 166. Nouv. Corres. Math. 2, 287, 1876. Brocard, H. Question 1532. Nouv. Ann. Math. 4, 391, 1885. Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 193, 1994.
- Neumann Series (Integral Equation)
- Neusis Construction
- Neville's Algorithm
- Neville Theta Function
- Newcomb's Paradox
- Newman-Conway Sequence
- Newton-Cotes Formulas
- Newtonian Form
- Newton Number
- Newton-Raphson Fractal
- Newton-Raphson Method
- Newton's Backward Difference Formula
- Newton's Diverging Parabolas
- Newton's Divided Difference Interpolation Formula
- Newton's Formulas
- Newton's Forward Difference Formula
- Newton's Identities
- Newton's Iteration
- Newton's Method
- Newton's Parallelogram
- Newton's Relations
- Newton's Theorem
- Next Prime
- Nexus Number
- Neyman-Pearson Lemma