4 ms·
The version I first saw used '4' instead of '896'. Which frankly made the answer large enough that no reasonable amount of brute force could find it. A good wr
by contravariant 6y ago
The version I first saw used '4' instead of '896'. Which frankly made the answer large enough that no reasonable amount of brute force could find it.
A good write up can be found here: https://www.quora.com/How-do-you-find-the-positive-integer-solutions-to-frac-x-y%2Bz-%2B-frac-y-z%2Bx-%2B-frac-z-x%2By-4/answer/Alon-Amit https://www.quora.com/How-do-you-find-the-positive-integer-s...
- kens 6y agoThat is an amazing, detailed explanation. (Don't be fooled by the quora location.) Spoilers: the solution to the equation is 80-digit numbers, which can be obtained by using elliptic curves, which the link explains in detail.
- IanCal 6y agoThat is fascinating thank you, and a great lead into some more advanced topics.