117 can be written as the difference of prime squares (112 - 22) or prime cubes (53 - 23). [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]
1172 + 2 are primes. [Russo]
