Decimology ~ Prime Pattern Sigma Psi Sum Modulo 9
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This does clearly work for all prime numbers, but don't assume the converse is true. If the digital sum of 6x is 6 or 3, all that means is x is not divisible by 3. Since every prime number besides 3 isn't divisible by 3, that is why this works.
JamesMazur2 7 months ago
@JamesMazur2 Yeah, I realized that pretty fast and put it in the description :P it's still fun to mess around with! Especially when you visualize it.. all the primes only fit into 2 columns in modulo 6.
orangegold1 7 months ago
Interesting... I was math major in college and loved Discrete Mathematics. I'm curious... do you have a proof for this? Or was it something you just discovered as a pattern of primes?
Zyggurat 7 months ago
@Zyggurat Not a proof but rather something I just discovered... The more I think about it... this pattern might just apply to all numbers that aren't divisible by 3 & 5.. I'm not sure though, it's just fun to mess around with haha! But it does limit somewhat the numbers I do have to check when generating prime lists.
orangegold1 7 months ago