The power of powerful numbers
In this note we discuss recent progress concerning powerful numbers, raise new questions and show that solutions to existing open questions concerning powerful numbers would yield advancement of solutions to deep, long-standing problems such as Fermat's Last Theorem. This is primarily a survey...
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| Format: | Article |
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Hindawi Limited
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171287000152 |
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doaj-e1db4a63a1f04794bc3f4405fbb8753b2020-11-24T21:35:41ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110112513010.1155/S0161171287000152The power of powerful numbersR. A. Mollin0Mathematics Department, University of Calgary, Calgary, Alberta T2N 1N4, CanadaIn this note we discuss recent progress concerning powerful numbers, raise new questions and show that solutions to existing open questions concerning powerful numbers would yield advancement of solutions to deep, long-standing problems such as Fermat's Last Theorem. This is primarily a survey article containing no new, unpublished results.http://dx.doi.org/10.1155/S0161171287000152powerful numberFermat's last theoremquadratic FieldDiophantine equation. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
R. A. Mollin |
| spellingShingle |
R. A. Mollin The power of powerful numbers International Journal of Mathematics and Mathematical Sciences powerful number Fermat's last theorem quadratic Field Diophantine equation. |
| author_facet |
R. A. Mollin |
| author_sort |
R. A. Mollin |
| title |
The power of powerful numbers |
| title_short |
The power of powerful numbers |
| title_full |
The power of powerful numbers |
| title_fullStr |
The power of powerful numbers |
| title_full_unstemmed |
The power of powerful numbers |
| title_sort |
power of powerful numbers |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1987-01-01 |
| description |
In this note we discuss recent progress concerning powerful numbers, raise new questions and show that solutions to existing open questions concerning powerful numbers would yield advancement of solutions to deep, long-standing problems such as Fermat's Last Theorem. This is primarily a survey article containing no new, unpublished results. |
| topic |
powerful number Fermat's last theorem quadratic Field Diophantine equation. |
| url |
http://dx.doi.org/10.1155/S0161171287000152 |
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AT ramollin thepowerofpowerfulnumbers AT ramollin powerofpowerfulnumbers |
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