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On the Diophantine equation

✍ Scribed by Shaun Cooper; Heung Yeung Lam


Book ID
118747210
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
228 KB
Volume
133
Category
Article
ISSN
0022-314X

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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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