Puz529 Results of O,L run up to 1,000,000,000,000

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 ...finished There were 37607912018 primes between 1 and 1000000000000 O entered second quadrant!!! at 716407555481 which is the 27285383212 th prime entry coords are xp,yp = -2470, 1 O - Final position is at x,y = 22869,-18924 L - Final position is at x,y = 5772,-36021

O Excursion range was x from -7231 to 34438 and y from -39914 to 7986 L 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) Quad II X Y

(0,0) 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 Quad II X

Y (0,0) 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)

Quad II X Y (0,0) L Set run to 10^12 Coverage Map (20x20 binning via floor function) Quad II

X Y (0,0)

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