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rename statics/euler and sync b93 code with main repo

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Mike Schwörer
2017-11-20 17:38:54 +01:00
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www/statics/euler/Euler_Problem-066_description.md Normal file
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Consider quadratic Diophantine equations of the form:
~~~
x^2 – Dy^2 = 1
~~~
For example, when `D=13`, the minimal solution in `x` is `649^2 – 13×180^2 = 1`.
It can be assumed that there are no solutions in positive integers when D is square.
By finding minimal solutions in `x` for `D = {2, 3, 5, 6, 7}`, we obtain the following:
~~~
3^2 – 2×2^2 = 1
2^2 – 3×1^2 = 1
9^2 – 5×4^2 = 1
5^2 – 6×2^2 = 1
8^2 – 7×3^2 = 1
~~~
Hence, by considering minimal solutions in `x` for `D <= 7`, the largest `x` is obtained when `D=5`.
Find the value of `D <= 1000` in minimal solutions of `x` for which the largest value of `x` is obtained.