Modulo 1 and 2...Pretty much what you'd expect from dividing things individually and then by 2s.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhUp53Em3B1kej8_IXBy32HP9W7slGnHZ1zTri1IPHu8nJKlmoqK-Gx5_i2Fca6kKTf9z-i687qqJKXcCh2QGH__Havg9-g2_qJsdJii2Mml2M4cDFpPgk1N71s2wDLkYDvOxLhZsUhhes6/s320/mod1.jpg)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjuAviMM8Tkkukb4IwW3-KuZz6Jzb-pkyZyqnKlEVMMSUYu3901Y9nLva-p9J_QPdiXECX9K7a5zLCVvhUBomKBXaKPQyWqmhMpTAt4bXFKfaRD8x9xNeW_DABXzZP0DWnJsTrp3t2KsybI/s320/mod2.jpg)
There is no rule that states we can only plot primes with Ulam's spiral. This is what happens when you perform n mod 3 as you plot each dot. Hmmm...
Same idea, only mod 4:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhd1srFUk4l6UOnwZwU78EcSOfI_hv3k9GeyURlyjkDpeFyvzv3rbjysyNkVYkbAAxGg6FY9qut_78Tsg_4pqvYUeqwNvT_SIVHpAm9OB8fDBEWxCv9GIsV7fdLr5zDbqj1J4TSNUY71NqR/s320/mod4.jpg)
And it just gets better. Mod 6:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgt14Fp0VcuPnS8e0rNbOGfNu2BKmzd5p8qqTBiBWdVNw_TPz_qEwYlDNpBHqqygzXDLtJ4scxmQWWr6mwQ-oFhC024YxNiKntbLKJ-Jg8UleXnT5YWWpocBvgK-QdT425SgMCsMGu3VuNJ/s320/mod6.jpg)
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