Counting solutions for other sizes n Exact enumeration There is no known formula for the exact number of solutions for placing n queens on an board i.e. the number of independent sets of size n in an queen's graph. The 27×27 board is the highest-order board that has been completely enumerated.The Q27 Project The following tables give the number of solutions to the n queens problem, both fundamental and all , for all known cases.
Counting solutions for other sizes n Exact enumeration There is no known, formula for the exact number of solutions for placing n queens on an board i.e. the number of independent sets of size n in an queen's graph. The 27×27 board is the highest-order board that has been completely enumerated.The Q27 Project The following tables give the number of solutions to the n queens problem, both fundamental and all  for all known cases.