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It's important as a theorem that's very simple to explain; most school children know Pythagoras's theorem about right angle triangles (a2+ b2 = c2), Fermat proposed that there were no whole number solutions for an + bn = cn for n other than 1 or 2. Fermat wrote in his notebook that he had a "wonderful" proof, but didn't have room to write it down. It was 300 years before it was proved - and for some time it was thought that it might be unprovable. (Gödel's incompleteness theorem states that there are true things that can't be proved true and I was taught that Fermat's might be such a thing).
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Why wasn't Fermats last theorem written on paper?
But it was. That is why we know about it. If you mean why the PROOF was not written- Fermat wrote that he had found a wonderful proof for the theorem, but unfortunately the margin was too small to contain it. This is why the theorem became so famous- being understandable by even a schoolchild, but at the same time so hard to prove that even the best mathematicians had to surrender, with a simple proof seemingly being existent that just nobody except Fermat could find. The theorem has since been proven but the proof uses math tools that are very advanced and were not available in Fermat's life-time.
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because your econometrics professor said so!
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Definately. there are heaps of uses for it like building fences and so on.
Is corollary a statement who's proof is typically more involved than a theorem?
No, in fact it is the opposite. A corollary is normally a special case of a theorem and is usually sufficiently important for it to be proven separately from the theorem. This is so that it can then be used in the future. Corollaries follow a theorem and can usually be derived from it very easily.
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Why is the Taj Mahal so important in today's world??
