Perhaps the proof was too large for the margin to contain.
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i square = -1 = 1 cube - 2. Is that correct?
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and not 5^2=3^3-2?
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Livehack: 5^2 = 25.
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Here is the idea: Prove that it is true for n^2=(n+1)^3-2. You’ll get n=2. Now try n^2=(n+c)^3-2. Make c>1 and you won’t get a real solution. Make c<1 and you won’t get a real solution. QED.
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2^2 = (2+1)^3-2 ??

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Mordell showed in 1920 that for each integer k, the elliptic curve y²=x³-k has only finitely many integral solutions. The elliptic curve y²=x³-2 only has (3,±5) as integral points as can been using methods of algebraic number theory. https://kconrad.math.uconn.edu/blurbs/gradnumthy/mordelleqn1.pdf …pic.twitter.com/cd3wPL7z4u
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Pierre de Fermat asserted all sorts of things. As a lawyer he endured the wrath of many others including Jacques St. Simone who shouted to him, “Vous mettez plus dans les pissoirs de Toulouse que dans cette conversation.”
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Omg I love that sentence.
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