117 can be written as the difference of prime squares (11^{2} - 2^{2}) or prime cubes (5^{3} - 2^{3}). [Sladcik]

117 = (1!_{2} + 1!_{2} + 7!_{2}) + ((1)!_{2} + (1)!_{2} + (7)!_{2}). Note that 117 is the only number with this property. [Firoozbakht]