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Item 810

Pythagorean Powers of Numbers

No power of 2 is the hypotenuse of a right integer triangle. (Thus neither is any power of 4.) All powers of 5 are hypotenuse values.

Is there an integer right triangle with hypotenuse a power of 3? (A power of 6? 7?)



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James Tanton
ALG2

Source: James Tanton
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