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May 12, 2020 at 6:20 vote accept Dominic van der Zypen
May 12, 2020 at 1:32 history edited LSpice CC BY-SA 4.0
Included Haskell code
May 12, 2020 at 1:26 comment added LSpice Indeed, I found it sort of fun to do it by hand, although it gets boring allocating each even number its own set. I'll put the Haskell code I used to generate examples in the post.
May 12, 2020 at 0:42 comment added Steven Stadnicki Running through this construction by hand, $B_1$ is (of course) the primes; $B_2$ appears to be the squares of the primes (and I suspect a proof would be pretty straightforward), and of course $2n\in B_n$. The structure of the $B$s after that point appears to get much more complicated, although for instance $m=12n+3\in B_{(m+1)/2}$ and $m=12n+9\in B_{(m-1)/2}$...
May 11, 2020 at 19:32 history answered LSpice CC BY-SA 4.0