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Twelve diophantine equations

✍ Scribed by J. H. E. Cohn

Publisher: Springer
Year: 1995
Tongue: English
Weight: 264 KB
Volume: 65
Category: Article
ISSN: 0003-889X
DOI: 10.1007/bf01270690

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📜 SIMILAR VOLUMES

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Let D > 2 be a positive integer, and let p be an odd prime not dividing D. In this paper, using the deep result of Bilu, Hanrot and Voutier (i.e., the existence of primitive prime factors of Lucas and Lehmer sequences), by computing Jacobi's symbols and using elementary arguments, we prove that: if

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✍ Pingzhi Yuan 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 168 KB

In this paper, we prove the equation in the title has no positive integer solutions (x, y, n) with 2 | n and x = y apart from (x, y, n) = (5, 2, 5), (90, 2, 13).