I'm looking for an example of the following situation:
- Proof of some statement that was widely accepted for a noticeable amount of time (say, at least 10 years).
- The proof was later refuted (i.e. the proof turned out to be incorrect), and the refutation was similarly widely accepted.
- The error in the proof was due to incorrect reasoning, not due to wrong assumptions. E.g. I'm not interested in a case when some proof relied on the laws of Newton's mechanics but is incorrect in the settings of special relativity.
- This happened in the last, say, 150 years.
I'm also not interested in the case when some result had an error that was quickly found and fixed in the follow-up work.
@CrimsonDark gives a good reference to a question with some good (as far as I can tell) examples: https://math.stackexchange.com/questions/139503/in-the-history-of-mathematics-has-there-ever-been-a-mistake