I described everything in this article almost 50 years ago in The City and the Stars (1956, Harcourt, Brace, and World). See chapter 6: “He set up the matrix of all possible integers, and started his computer stringing the primes across its surface as beads might be arranged at the intersections of a mesh. Jeserac had done this a hundred times before and it had never taught him anything. But he was fascinated by the way in which the numbers he was studying were scattered, apparently according to no laws, across the spectrum of the integers.” Elsewhere, I describe looking for prime lineups when all the integers are written in a spiral.

Arthur C. Clarke
Sri Lanka