Everyone, I've modified the test suite such that common cheats won't work; i.e., regexp/rep, interp1/2/3, num2str, str2num, etc. are disallowed! General numerical solutions, however, are most welcome.
How long is the longest prime diagonal?
Radial Zernike polynomials
Hexagonal Tiling Dots in a Circle
Generalized Laguerre polynomials
Dots in a Sphere
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