Answer: Persian violets (Exacum affine) are very difficult to grow at home, so they are usually treated as florist gift plants and discarded when they begin to fade. They need cool room temperatures (55 degrees daytime, a bit cooler at night), high humidity and good air circulation along with bright but indirect light. Understandably, very few home gardeners can keep them alive for any length of time because of the temperature requirement. If you would like to grow indoor flowering plant, the many different types of African violet tend to be easier to grow and have lovely flowers. I'm sorry I can't be more encouraging about the Persian violet.
Based on your description of your potato, I think you may be seeing seed balls forming at the sites where the blooms were earlier. This is fairly unusual but possible, depending on the variety of potato you are growing. Their development would detract from the tuber formation by diverting energy so you can cut them off. Or, you could allow them to mature and plant them later -- although your resulting potatoes would be unpredictable.
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