Problem 454: Diophantine reciprocals III
In the following equation x, y, and n are positive integers. 1/x + 1/y= 1/n
For a limit L we define F(L) as the number of solutions which satisfy x < y ≤ L.
We can verify that F(15) = 4 and F(1000) = 1069. Find F(1012).
Test
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