Rymken was formerly part of the German Empire. In the German Empire, the place was called Riemken.
The place is now called Rymki and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Rymken | German Empire | Lyck | 1938 |
| Riemken | German Empire | Lyck | 1939 |
| Rymki | Under Polish administration | Ełk | 1945 |
| Rymki | Poland | Suwałki | 1992 |