Elements of Number Theory

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I've been studying A081018 as part of a programming challenge. Skipping some of the introductory material, the crux of the…

The following expression can be obtained by converting the continued fraction of quadratic irrationals to single fraction. $$ \sq…

I would like to find all integers $a$ such that $x^5-x-a$ has a quadratic factor in $\mathbb{Z}[x]$. My…

Example $x^2-7y^2=2$ Find $x,y$ in general when $x,y$ are…

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