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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]