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Number theory, unknown level

True or false? (I don't know.) Every integer > 0 is the difference of two powers. Examples: 1 = 3^2 - 2^3 2 = 3^3 - 5^2 3 = 2^7-5^3 4 = 2^3-2^2 = 5^3-11^2 5 = 2^5 - 3^3 6 = ? 7 = 2^5-5^2 8 =? 9 = 5^2-2^4