So, I picked it by choosing 12^3 + 2. I wanted to start with something easily factored (power of 12) and not too small, but not interesting because of its factorization. And I wanted it to be even, since odd numbers tend to have funny quirks. So a simple +2.
What’s amusing is that I did this before looking at the Wikipedia page. According to that, the original number that inspired this paradox was 1729. So just by happenstance, I picked one integer higher than the original “uninteresting” number. Which I guess arguably makes 1730 interesting now (though admittedly not for mathematical reasons).
So, I picked it by choosing 12^3 + 2. I wanted to start with something easily factored (power of 12) and not too small, but not interesting because of its factorization. And I wanted it to be even, since odd numbers tend to have funny quirks. So a simple +2.
What’s amusing is that I did this before looking at the Wikipedia page. According to that, the original number that inspired this paradox was 1729. So just by happenstance, I picked one integer higher than the original “uninteresting” number. Which I guess arguably makes 1730 interesting now (though admittedly not for mathematical reasons).
And so it becomes true.