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Discussions: On a Diophantine Equation

โœ Scribed by H. C. Bradley


Book ID
123765585
Publisher
Mathematical Association of America
Year
1921
Tongue
English
Weight
122 KB
Volume
28
Category
Article
ISSN
0002-9890

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๐Ÿ“œ SIMILAR VOLUMES


On a Diophantine Equation
โœ Erdos, P. ๐Ÿ“‚ Article ๐Ÿ“… 1951 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 102 KB
On a linear Diophantine equation
โœ Pillai, S. S. ๐Ÿ“‚ Article ๐Ÿ“… 1940 ๐Ÿ› Springer-Verlag ๐ŸŒ English โš– 255 KB
A Diophantine Equation
โœ E. T. Bell ๐Ÿ“‚ Article ๐Ÿ“… 1949 ๐Ÿ› Mathematical Association of America ๐ŸŒ English โš– 363 KB
A Diophantine Equation
โœ Newman, M. ๐Ÿ“‚ Article ๐Ÿ“… 1968 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 59 KB
On the diophantine equation
โœ Pingzhi Yuan; Yongzhong Hu ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 192 KB

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

On the diophantine equation
โœ Pingzhi Yuan ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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).