It's so cool actually!

You actually sent me on a rabbit hole trying to visually look for patterns :D But I guess the discretionality with which you can organize in rows and columns makes mine quite a pointless excercise :D

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jona-f 3 days ago | parent [-]

If you select 30, 60 or 90 columns you get the clearest patterns. It kinda seems that the more divisors the number of columns has, the clearer the vertical clusters are. And somehow 30, 60 and 90 stand out. Number theory is so weird. I expected more randomness.

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susam 3 days ago | parent | next [-]

The reason vertical clusters appear in these examples is that all your chosen numbers are multiples of 6. A prime number greater than 3 leaves a remainder of either 1 or 5 when divided by 6. In other words:

For all primes p greater than 3, p ≡ ±1 (mod 6).

Therefore, when the total number of columns is a multiple of 6, all primes except 2 fall into the same columns, namely 1, 5, 7, 11, 13, 17 and so on.

	▲	jacobtomlinson 3 days ago \| parent \| next [-]
		I just set the column width to 6 to verify this for myself. What a neat tool!
	▲	jona-f 2 days ago \| parent \| prev [-]
		Oh yes, thanks!

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dgacmu 3 days ago | parent | prev | next [-]

If you can do 210 you'll see even more.

Any primorial will give you the strongest patterns. (Primorials are the products of the first N primes, so 2, 6, 30, 210, etc.)

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Daub 3 days ago | parent | prev | next [-]

Very cool. Go from 30 to 31 to see this ‘pattern’ twist in on itself.

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ainiriand 3 days ago | parent | prev [-]

Go for 258 and be ready to get your mind blown.

	▲	calrain 3 days ago \| parent [-]
		210 columns is stripes