I don't believe Fermat had a proof. I think he fooled himself into thinking he had a proof.
More Quotes from Andrew Wiles:
The greatest problem for mathematicians now is probably the Riemann Hypothesis.Andrew Wiles
Here was a problem, that I, a ten year old, could understand and I knew from that moment that I would never let it go. I had to solve it.
Andrew Wiles
But the best problem I ever found, I found in my local public library.
Andrew Wiles
Perhaps the methods I needed to complete the proof would not be invented for a hundred years. So even if I was on the right track, I could be living in the wrong century.
Andrew Wiles
Then when I reached college I realized that many people had thought about the problem during the 18th and 19th centuries and so I studied those methods.
Andrew Wiles
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