@me1958424 I don’t know a lot about geometrical representations of numbers (if that interests you, you could watch Mathologer’s videos. For instance: https://www.youtube.com/watch?v=9JN5f7_3YmQ but they are all fun…), but I don’t see a circle in your honeycomb filled with numbers, but more a spiral; the next size would be something like this:
wouldn’t it?
Btw. 7 and 19 are called ‘centered hexagonal numbers’ .
is there a corresponding upscale infinite number?
If I understand you correctly, of course there are many.
For instance: 29 is a prime, so 1/29 repeats after a number of digits, that is a divisor of 28 (which is the second mathematical perfect number, after 6, but that is irrelevant for this construction) and happens to be 28 itself.
Namely 1/29 = 0.34482758620689 65517241379310…… the sequence then starts repeating at the dots. Notice how I put a space halfway. Can you see why? (Look at 1/7 first, if you don’t see it immediately…)