Republic of Mathematics blog

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A curious number exploration

Posted by: Gary Ernest Davis on: May 6, 2011

Benjamin Vitale (@BenVitale) tweeted that he followed 203 people on Twitter and is a prime number. Alex Bogomolny (@CutTheKnotMath) observed that if (digits base 10) then has a factor of unless one of . A quick computational search (using Mathematicaâ„¢) yields the following numbers (base 10 digits) for which is prime: 10, 20, 203, 230, […]

The axiom of choice: can’t live without it, can’t live with it

Posted by: Gary Ernest Davis on: May 4, 2011

Imagine you get to choose one of each type of cake from the cake shop pictured above! What a treat! With trembling hands you go from one type of cake to another, carefully choosing one of each until you’ve run out of different types of cakes. Yum! When you’re done you have a collection of […]