December, 2019

Ask Uncle Colin: A proof

Dear Uncle Colin, I have to prove that, if $a > b \ge 2$, then $ab > a + b$. I can see it must be true, but I can’t prove it! Any ideas? Questioning Everything Done Hi, QED, and thanks for your message! There are several ways to go

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Dictionary of Mathematical Eponymy: The Lutz-Nagell Theorem

One of the reasons I’m writing the Dictionary of Mathematical Eponymy is to introduce myself to new ideas, and to mathematicians I didn’t know about. To things I wish I knew more about. Elliptic curves are pretty high on that list. What is the Lutz-Nagell theorem? It’s sometimes - reasonably,

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