A formula that generates all prime numbers is given by David Dunlop and Thomas Sigmund in their book Problem Solving with the Programmable Calculator (Englewood Cliffs, N.J.: Prentice-Hall, 1983). The authors claim that the formula √1+24n produces every prime number except 2 and 3, but give no proof or reference to a proof. Create a table, and give an argument to support or find a counterexample to disprove their claim.