On the Odd Prime Solutions of the Diophantine Equation xy+yx=zz
Using the elementary method and some properties of the least solution of Pell’s equation, we prove that the equation xy+yx=zz has no positive integer solutions (x,y,z) with x and y being odd primes.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/186416 |