Susam Profile picture
Apr 11, 2020 8 tweets 3 min read
How do you feel about all the viral brain teasers being circulated on social media? Here is how I feel about them: xkcd.com/169/ Image
But here is how I really react to them: xkcd.com/356/ Image
Can't help myself from being nerd-sniped regardless of how frivolous these brain teasers are.
Here is another mutation of these brain teasers: spikedmath.com/062.html Image
The next time someone asks me yet another brain teaser, I am going to send them this: Image
And then this: spikedmath.com/492.html Image
An √-1 for an √-1.

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More from @susam

Aug 7, 2021
It took me a while to realize what this picture on the cover of the book "Introduction to Analytic Number Theory" (Apostol, 1976) really means.

Special thanks to @LavaboMouille for helping me interpret this picture correctly. Image
On the horizontal axis we have x = 0, 1, 2, ..., 17. On the vertical axis we have y = 0, 1, 2, ..., 17. A cell exists at (x, y) if and only if gcd(x, y) ≠ 1.

In other words, a cell exists at (x, y) if and only if x and y are not relatively prime to each other.
When x = 1, we get gcd(x, y) = 1 for every integer y, so the column at x = 1 is completely empty. Similarly, the row at y = 1 is also completely empty.
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