The above picture is a matrix of 64 rows and 64 columns of altogether 4096 black or white squares. The squares are numbered (in row major order) from 0 to 4095. The n-th square is black iff the number 2n + 1 is prime. For example, the black square in the right upper corner represents the prime 127, and the black square in the right lower corner represents the prime 8191. You can observe, besides many twin primes, the two kinds of triple primes (patterns
xx_x
resp. x_xx
) and some quadruple primes (pattern
xx_xx
).
bigger primes