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5

Not being a follower of this particular YouTube channel, this is new to me. However, it strongly reminds me of another puzzle seen on Puzzling earlier this year, which I believe has a similar mechanism at heart... In which case, the answer is that:


2

Freddy Barrera, using SAGE, has determined all integers not greater than 1000 whose divisibility graph is non-planar: 32, 36, 48, 60, 64, 72, 80, 84, 90, 96, 100, 108, 112, 120, 126, 128, 132, 140, 144, 150, 156, 160, 162, 168, 176, 180, 192, 196, 198, 200, 204, 208, 210, 216, 220, 224, 225, 228, 234, 240, 243, 252, 256, 260, 264, 270, 272, 276, 280, 288, ...


6

A graph is non-planar Therefore, the smallest positive integer with a non-planar proper divisor graph is Finding the first two consecutive integers with this property is more complicated, because It turns out that Thus, the two smallest consecutive numbers whose proper divisors form a non-planar graph are


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