On the equation x2+2a⋅3b=yn
We find all positive integer solutions (x,y,a,b,n) of x2+2a⋅3b=yn with n≥3 and coprime x and y.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202004696 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555940157587456 |
|---|---|
| author | Florian Luca |
| author_facet | Florian Luca |
| author_sort | Florian Luca |
| collection | DOAJ |
| description | We find all positive integer solutions (x,y,a,b,n) of
x2+2a⋅3b=yn with n≥3 and coprime x and y. |
| format | Article |
| id | doaj-art-a35f838a8ed144f582a88924707bf43c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a35f838a8ed144f582a88924707bf43c2025-02-03T05:46:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129423924410.1155/S0161171202004696On the equation x2+2a⋅3b=ynFlorian Luca0Mathematical Institute, UNAM, Ap. Postal 61-3 (Xangari), CP 58 089 Morelia, Michoacán, MexicoWe find all positive integer solutions (x,y,a,b,n) of x2+2a⋅3b=yn with n≥3 and coprime x and y.http://dx.doi.org/10.1155/S0161171202004696 |
| spellingShingle | Florian Luca On the equation x2+2a⋅3b=yn International Journal of Mathematics and Mathematical Sciences |
| title | On the equation x2+2a⋅3b=yn |
| title_full | On the equation x2+2a⋅3b=yn |
| title_fullStr | On the equation x2+2a⋅3b=yn |
| title_full_unstemmed | On the equation x2+2a⋅3b=yn |
| title_short | On the equation x2+2a⋅3b=yn |
| title_sort | on the equation x2 2a⋅3b yn |
| url | http://dx.doi.org/10.1155/S0161171202004696 |
| work_keys_str_mv | AT florianluca ontheequationx22a3byn |