A new proof about prime numbers illuminates the subtle relationship between addition and multiplication — and raises hopes for progress on the famous abc conjecture. One morning last November, the ...
It’s surprisingly difficult to prove one of the most basic properties of a number: whether it can be written as a fraction. A broad new method can help settle this ancient question. In June 1978, the ...
If √2 is rational, one can construct an isosceles right triangle of minimal integer side lengths. This implies that the hypotenuse is even, leading to a contradiction of the minimality. Journal ...
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