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arxiv: 1112.2688 · v3 · pith:D3KEEIZQnew · submitted 2011-12-12 · 🧮 math.NT

Catalan's Equation For Even Primes over Quadratic Fields

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keywords catalanequationevenprimesarticlefieldslistsmathbb
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This article lists all the solution of the Catalan equation $x^p-y^q=1$ for $x,y \in \mathbb{Z}[i]$, when one of the primes $p and q$ is even.

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