Contribute to McGill's "Crossnumbers" Math Magazine!

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SUMMARY

McGill University is launching an undergraduate math magazine featuring a section called "Crossnumbers," where contributors can share interesting integers along with their unique properties. Notable examples include 999999, known as the Feynman Point, and 1729, recognized as the smallest integer expressible as the sum of two cubes in two different ways. The magazine will be published and distributed for free to McGill students, encouraging participation from the community to explore the concept of "interesting" numbers.

PREREQUISITES
  • Understanding of integer properties and classifications
  • Familiarity with mathematical concepts such as sums of cubes
  • Knowledge of notable mathematical constants like e
  • Basic grasp of mathematical publication processes
NEXT STEPS
  • Research the concept of "interesting" numbers in mathematics
  • Explore the properties of Fermat numbers and their significance
  • Learn about the history and significance of the Feynman Point
  • Investigate mathematical publications and how to contribute to them
USEFUL FOR

Mathematics enthusiasts, undergraduate students interested in mathematical writing, and anyone looking to engage with mathematical concepts 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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