| Title:
|
On the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma =y^n$ (English) |
| Author:
|
Godinho, Hemar |
| Author:
|
Marques, Diego |
| Author:
|
Togbé, Alain |
| Language:
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English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
20 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
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81-88 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we find all solutions of the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma = y^n$ in positive integers $x,y\geq 1$, $\alpha ,\beta ,\gamma ,n\geq 3$ with $\gcd (x,y)=1$. (English) |
| Keyword:
|
Diophantine equation |
| Keyword:
|
exponential equation |
| Keyword:
|
primitive divisor theorem |
| MSC:
|
11D61 |
| MSC:
|
11Y50 |
| idZBL:
|
Zbl 06165037 |
| idMR:
|
MR3032806 |
| . |
| Date available:
|
2013-01-28T10:25:33Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143141 |
| . |
| Reference:
|
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