Contribute to McGill's "Crossnumbers" Math Magazine!

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McGill University is launching an undergraduate math magazine called "Crossnumbers," focusing on interesting integers and their properties. Contributors are encouraged to share unique integers and their significance, with examples provided in the discussion. The magazine will be published and distributed for free to McGill students. There is a playful debate about the definition of "interesting" numbers, with participants discussing properties that make numbers unique. The initiative aims to engage students in mathematics through creative contributions.
Dragonfall
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This is probably in the wrong section. Anyway, McGill's starting an 'undergrad math magazine' in which I want to contribute a little something I came up called 'Crossnumbers' in its recreation section. The idea is really self-explanatory. I've come up with a few 'interesting' integers already, but if you can think up of something, please contribute! :smile:

The numbers are to be filled in. The clues are on the right. For example:

999999: The Feynman Point

1729: Smallest integer expressible as the sum of two cubes in two different ways

762: The position in the decimal expansion of a certain number at which the Feynman point occurs

4294967297: First non-prime Fermat number

7427466391: First ten-digit prime in the decimal expansion of e

etc.
 
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Sounds like fun. Is this going to be a published magazine?
 
1729: Smallest integer expressible as the sum of two cubes in two different ways
Not true! 0 is expressible as the sum of 2 cubes in 2 different ways, as is -1729, and... :wink:
 
Ah... but what is the smallest positive non-interesting number?
 
Come, we all know there is no such thing.
 
Since the fact that it was the smallest non-interesting number makes it "interesting". (Where "interesting" is defined as "having a property no other number has".)
 
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It'll be published and given away for free, for McGill students anyway.
 

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