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The smallest integer which cannot be represented by less than 19 nth powers

79 = 1⁴ + 1⁴ + 1⁴+ 1⁴+ 1⁴+ 1⁴+ 1⁴+ 1⁴+ 1⁴+ 1⁴+ 1⁴+ 1⁴+ 1⁴+ 1⁴+ 1⁴ + 2⁴+ 2⁴+ 2⁴+ 2⁴