A ug 2 00 9 Pythagorean Triangles with Repeated Digits – Different Bases
نویسنده
چکیده
In 1998, in the winter issue of Mathematics and Computer Education ([1]) Monte Zerger posed the following problem. He had noticed or discovered the Pythagorean triple (216, 630, 666); (216) + (630) = (666). Note that 216 = 6 and 666 is the hypotenuse length of this Pythagorean triangle. The question was, then whether there existed a digit d (in the decimal system) and a positive integer k (other than the above) such that d is a leg length and ( d . . . d } {{ } )
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