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...and which was why I clicked on the article in the first place. Because the title was, you know, helpful and descriptive.
by toomuchcoffee 14y ago
...and which was why I clicked on the article in the first place. Because the title was, you know, helpful and descriptive.
- marshray 14y agoI clicked on the title "Prime Number Patterns" and am a little disappointed. I'm just not seeing any patterns other than the semicircles of increasing integer diameters. Should I stare at it longer?
- toomuchcoffee 14y agoUmm... yes, you should actually. Those patterns of semicircles aren't random, of course. They correspond directly to the degree of compositeness of the chosen modulus. Compare for n = 60,61,62, for example. The higher the totient value for n, the more circles you see, basically.
- marshray 14y agoRight, so I can look at the diagram and see that 59 and 61 are prime while 60 has many divisors. I can kinda see that the density of primes decreases gradually. But I can't see a broader pattern beyond that. Now here I can see some patterns! https://en.wikipedia.org/wiki/Ulam_spiral https://en.wikipedia.org/wiki/Ulam_spiral