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Distribución de los primos de Gauss en el plano

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@interact def _(n=slider(3,100, step_size=1, default = 5, label="n=")): html("Los primos de Gauss en un cuadrado de lado $2n$ centrado en el origen.") html("En rojo, los de norma 2.") html("En azul, los que son enteros.") html("En verde, el resto.") lattice1 = [] lattice2 = [[1,1], [1,-1], [-1,1], [-1,-1]] lattice3 = [] for x in [-n .. n]: for y in [-n .. n]: if is_prime(x^2+y^2) and (x^2+y^2).mod(4) == 1: lattice1 = lattice1 + [[x,y]] for z in list(primes(3,n+1)): lattice3 = lattice3 + [[z,0], [-z,0]] lattice1_plot = point(lattice1, rgbcolor='green', size=400/n) lattice2_plot = point(lattice2, rgbcolor='red', size=800/n) lattice3_plot = point(lattice3, rgbcolor='blue', size=800/n) return show(lattice1_plot+lattice2_plot+lattice3_plot, aspect_ratio=1)
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