The sum of the reciprocals of the perfect powers larger than 1, including duplicates, like , is equal to 1, exactly like the sum of the reciprocals of , where ranges among the perfect powers, but without duplicates, i.e.,
The first perfect powers are 1, 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 81, 100, 121, 125, 128, 144, 169, 196, 216, 225, 243, 256, 289, 324, 343, 361 more terms