Puz529 – Results of O,L run up to 1,000,000,000,000 (10^12)

O entered quadrant II (x<0, y>0) a couple of times, but just barely!L did not enter, entry must be for prime p>10^12. Below is the output

Counting primes in the seive ...finishedThere were 37607912018 primes between 1 and 1000000000000

O entered second quadrant!!! at 716407555481 which is the 27285383212 th primeentry coords are xp,yp = -2470, 1

O - Final position is at x,y = 22869,-18924L - Final position is at x,y = 5772,-36021

O Excursion range was x from -7231 to 34438 and y from -39914 to 7986L Excursion range was x from -2612 to 37479 and y from -47369 to 19309

O Set run to 1000,000,000,000 (10^12) – Avg Unit Area Hit Count (20x20 binning via floor function)

XY

(0,0)

Quad II

O Set run to 1,000,000,000,000 (10^12) – Coverage Map (20x20 binning via floor function)

Incursions to Quad II in tiny portion of this zoom box

XY

(0,0)

Quad II

O Set run to 10^12 – Zoom where only Quad II wandering occurred (above white line)

Quad II Incursion at x = -2470, y = 1 at 716407555481 (27285383212th prime)

Y=0, X

O Set – Same Zoom – Grayscale Avg. unit area hit count shows very little time spent in the two incursion zones

Quad II Incursion at x = -2470, y = 1 at 716407555481 (27285383212th prime)

Y=0, X

L Set run to 1000,000,000,000 (10^12) – Avg Unit Area Hit Count (20x20 binning via floor function)

XY

(0,0)

Quad II

L Set run to 10^12 – Coverage Map (20x20 binning via floor function)

XY

(0,0)

Quad II