Visualizes how prime gaps g(n) = p(n+1) - p(n) and second differences d2(n) = g(n+1) - g(n) evolve over the prime sequence. Notice how gaps generally increase while d2 oscillates around zero.
Shows the frequency distribution of second ratios r(n) = d2(n) / (p(n+2) - p(n)). The ratio is always in [-1, 1]. Brighter cells indicate more frequent values. This reveals the "terrain" of local prime behavior.
A three-dimensional view of the prime landscape. X-axis is the prime index, Y-axis is the gap value, and Z (height/color) represents the second difference. Drag to rotate, scroll to zoom. This is the literal "terrain" of prime neighborhoods.