| Title:
|
Diophantine equation $\frac{q^n-1}{q-1}=y$ for four prime divisors of $y-1$ (English) |
| Author:
|
Polický, Zdeněk |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
46 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
577-588 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the special diophantine equation $\frac{q^{n}-1}{q-1}=y$ with integer coefficients is discussed and integer solutions are sought. This equation is solved completely just for four prime divisors of $y-1$. (English) |
| Keyword:
|
diophantine equation |
| Keyword:
|
Fermat and Mersenne primes |
| Keyword:
|
Catalan conjecture |
| MSC:
|
11A41 |
| MSC:
|
11D41 |
| MSC:
|
11D45 |
| MSC:
|
11D61 |
| MSC:
|
11D72 |
| idZBL:
|
Zbl 1121.11031 |
| idMR:
|
MR2174534 |
| . |
| Date available:
|
2009-05-05T16:53:29Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119550 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
