Where Proof, Evidence and Imagination Intersect

The twin primes conjecture hypothesizes that there is no largest pair of twin primes, that the pairs keep appearing as we make our way toward infinity on the number line. The model lets us create a random line by picking a pair of random numbers, m and b. Thus, we can pick a pair of random lines and test them: Do they intersect? Our model will only generate evidence supporting our conjecture, because if two lines lie in the same plane, it is true that they must either intersect or be parallel.

Source: www.quantamagazine.org